Find the smallest positive integer N with the following property: of the three numbers N, N+1, and N+2, one of them is divisible by 22, one of them is divisible by 32, one of them is divisible by 42, and one of them is divisible by 52.
My guess is n = 223
n + 1 = 224 divisible by both 4 and 16
n + 2 = 225 divisible by both 9 and 25
+537 
