Legality of using National Lottery pictures as buttons

Lets say I wanted to make a lottery program to remember to lottery numbers that I have played lets say.

If I used the picture of the Powerball logo for instance as a button would this be legal to do?

I do not want to design something that is not going to be legal to use...

Would the use of the name powerball itself be legal to use on anything as well?

I am rather concerned with all the legal crud these days and would really like to refrain from legal troubles I find it rather annoying that we cannot use logo's as buttons or within the program and declare that we are not associated or affiliated with the trademarks used...

I suppose I could email them and try to get permissions but it seems like a pain in the rear to do so for several different lotteries ...

Thanks in advance