AMC 8 1993 Problem 22

Pat Peano has plenty of 0's, 1's, 3's, 4's, 5's, 6's, 7's, 8's and 9's, but he has only twenty-two 2's. How far can he number the pages of his scrapbook with these digits? $\text{(A)}\ 22 \text{(B)}\ 99 \text{(C)}\ 112 \text{(D)}\ 119 \text{(E)}\ 199$