# Floor + Factorial = ?

Algebra Level 3

$\left\lfloor \frac { x }{ 1! } \right\rfloor +\left\lfloor \frac { x }{ 2! } \right\rfloor +\left\lfloor \frac { x }{ 3! } \right\rfloor =224$

Find the integer value of $$x$$ that satisfies the equation above.

Note: $$\lfloor x \rfloor$$ denotes the greatest integer that is smaller than or equal to $$x$$.

×