2002 AMC 12B Problem 13

The sum of 18 consecutive positive integers is a perfect square. The smallest possible value of this sum is

\mathrm{(A)}\ 169 \qquad\mathrm{(B)}\ 225 \qquad\mathrm{(C)}\ 289 \qquad\mathrm{(D)}\ 361 \qquad\mathrm{(E)}\ 441

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