Can someone tell me where I messed up at? The answer is $7052.48

Find the producer's surplus if the supply function for computers is given by $\displaystyle S(q)=5q^{3/2}+q+61$ and supply and demand are in equalibrium at $\displaystyle q=22$

Here is my work.

$\displaystyle S(22)= 5(22)^{3/2}+22+61$

$\displaystyle =598.9457336$

$\displaystyle \int_{0}^ {22} [598.9457336-(5q^{3/2}+q+61)]dq$

$\displaystyle \int_{0}^{22} (537.9457336-5q^{3/2}-q)dq$

$\displaystyle =537.9457336q-2q^{5/2}-q^2 \mid_{0}^{22}$

$\displaystyle =11834.80614-4540.322456+484$

$\displaystyle =7778.48$

The reason I didn't round my calculations is because it said not to. As you can see my anwer is far from the right one of $7052.48....someone please help