22,440

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Number

$22 \, 440$ (twenty-two thousand, four hundred and forty) is:

$2^3 \times 3 \times 5 \times 11 \times 17$

The $2$nd positive integer $n$ after $15$ such that $\pm n$ allows $x^5 - x + n$ to be factorized into the product of an irreducible quadratic and an an irreducible cubic:

$x^5 - x \pm 22440 = \paren {x^2 \mp 12 x + 55} \paren {x^3 \pm 12 x^2 + 89 x \pm 408}$

Also see

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