Question 22
Parallelogram $ABCD$ has area $1{,}000{,}000.$ Vertex $A$ is at $(0, 0)$ and all other vertices are in the first quadrant. Vertices $B$ and $D$ are lattice points on the lines $y = x$ and $y = kx$ for some integer $k \gt 1,$ respectively. How many such parallelograms are there?