1992 AHSME Problem 17

The 2-digit integers from 19 to 92 are written consecutively to form the integer N=192021\cdots9192. Suppose that 3^k is the highest power of 3 that is a factor of N. What is k?

\text{(A) } 0\quad \text{(B) } 1\quad \text{(C) } 2\quad \text{(D) } 3\quad \text{(E) more than } 3

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.