Hello, the prince!

Here's one solution.

. .

Note that the two main diagonals have a sum of 264,

so do the 2×2s in each corner,

and the 2×2 in the center,

and the four corner cells.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

I diduse trial-and-error; I usednotlogic.

If you insist, I'll explain my approach.