The $1$st edition of OLCOMA was organized in $1989$, so in $2022$ the $34$th edition will be celebrated. Suppose that the Olympics will continue to be held annually without interruption. We say that a year $N$ is good if the OLCOMA edition number of that year divides the product $N(N +1)$. For example, the year $2022$ is good because $34$ divides $2022 \cdot 2023$. Determine the last year $N$ in the $21$st century, $2000\le N \le 2099$, which is good.