Alright, let's work through 4003 times 5564 step by step
4003 × 5564 = 5564 × (4003)
+ 5564 × 3 giving us 16692
+ 5564 × 00 what gives us 0
+ 5564 × 000 yielding 0
+ 5564 × 4000 what gives us 22256000

= 22272692
