Go there for Q and A about if your account has been suspended...but if you are truly banned, it's not an account Ban as obvious by you posting here, but a console Ban. The one way to find out is by having someone else log into it that is already on the console.
If they can't, the console has been blocked, and the best place to call is Microsoft Support. http://support.xbox.com/en-US/contact-us
Sorry my friend once you are banned, that's it. You can appeal by phone but rest assured, If you are banned an investigation has already happened. May I ask what you mean by the console was hacked??? Seems very unlikely.... What reason was given as to
why? GOOD LUCK!!!