Which direction would equilibrium shift in the reaction N2 + 3H2 2NH2 + 22,000 cal if it is cooled?

I think you meant

N2 + 3h2 ==> 2NH3 + heat
Le Chatelier's Principle says that a system in equilibrium will shift to undo what we do to it. Therefore, if we cool it the reaction will shift to increase the heat we've removed. So it will shift to the right.