Hi,
Someone once asked a rich Norwegian man, "how much do I need to be rich?". The Norwegian man replied "Just a bit more"
The first thing you need to realize is that everything in Norway is grossly expensive. The whole system runs on greed and is very materialistic. Because everything is so expensive it creates a vacuum of greediness because nobody wants to be any less than anyone else, so prices go up etc. All of this becomes more prominent the closer to a city or large town you live.
Today, $220,000 USD is approx 1.8 million Norwegian kroner. That may sound like a lot, but believe me, by the standard here, it's not. If you use the money wisely then it would give you a good start, but please focus on the keyword "wisely". My advice would be as follows:
Learn the basics of the Norwegian language before even coming here. When it comes to speaking English, Norwegians are split into 2 groups. One group are VERY nationalistic and proud and will not want to entertain you unless you speak Norwegian, because to them, their Country is the best in the world and as an outsider you are privileged to be here and have to show them the respect they feel they deserve (plus those types are usually terrible at English, but let's not talk about that) 
The other group of people have evolved beyond the small, closed doors community mindset and are usually more traveled and more importantly, have come to the realization that Norway's international business relationships are growing all the time, so the need to be proficient in English is beneficial and not seen as a betrayal of the establishment, but as a benefit to society in the years to come, so in other words, speaking English is not a problem for them at all and they will actually help you to learn Norwegian gradually rather than slamming their fist on a desk and demanding you learn it.
What I'm getting at is, you need to think about what kind of work you would like to do and then check if speaking fluent Norwegian is going to be necessary or down to the employer's discretion. In some places, to even get a job as a cleaner you need to speak Norwegian, not because it's needed, because mops and cloths don't speak Norwegian, the employer might be inclined to make it mandatory for reasons mentioned above.
At some point you will need to know some Norwegian, you can't escape it really so it's good to learn some, but not because some proud a-hole demands it, but rather because it will be useful for communication skills, reading road signs, supermarket signs and prices etc. Don't get me wrong, I'm not against speaking Norwegian, but I am against arrogant butt-wipes who try to belittle you because you don't. (I'll provide some free learning links at the end to help you get started).
So, first, finding a job as quickly as possible is of paramount importance, otherwise your money will disappear VERY quickly. You want to find some way to get an income and support yourself and presumably pay your rent on a temporary apartment so you don't need to dip into your savings for those expenses.
Once you've done that, go to the bank, for instance DNB and make an appointment with a financial advisor who will help you with safe investments, they will put your money to work and make it grow. Explain that this is an investment towards a property and they will be happy to help you.
Norway is a place that can, and does suck people in and spit them out at regular intervals. It can be a great place to live and thrive, but you absolutely have to be wise about it.
There technically isn't a one-line answer to the question you asked, but the above is good advice from a veteran who has been though all the pitfalls and come out the other end.
If you want to check out housing prices by different areas, start here and when you get to the page click the icon with a picture of a house labeled Eiendom then on the next page click the link which says "Bolig til salgs" (property for sale). On the next page you can then in the left column choose which areas to search, set a max price etc (Use Google translate if necessary). I'd forget places like Oslo and Trondheim as the housing market is on another planet and in those areas you have the law of supply and demand in full swing. Advertise property at a crazy price and hope someone will pay it, someone does pay it because they want to make a huge profit on it, sold!!! (so yeah, don't go there) because unless the cycle of greed is broken it's just going to continue. It's already becoming impossible for many Norwegians, so coming in from the outside is not the ideal situation.
As for starting to learn some Norwegian, you can begin here when you get there, click on the link which says "Go straight to NoW"
The "foreign" students just happen to speak perfect Norwegian, but let's not talk about that
but it will give you a good intro.
OK, got work to do - hope his helps a little. I will just mention that your money can get you a place to live / buy even if you ignore everything above, but if you want to do more than just exist, then please be wise. 