Yeah - the 220 minus your age thing can be way off - that would put me at 186 and my measured max is 211. I'm not sure how you do a max for running and I've heard that cycling zones and running zones are usually different.

For cycling the easiest way is to do it on a trainer
warm up for about 15 min
then increase your effort by 10% every 2 or 3 min until you feel you can't go harder - then stand up and sprint all out - you should reach to or very near you max.