22,140

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Number

$22 \, 140$ (twenty-two thousand, one hundred and forty) is:

$2^2 \times 3^3 \times 5 \times 41$

The $4$th square pyramorphic number after $1$, $55$, $5525$:

$22 \, 140 = \ds \sum_{k \mathop = 1}^{40} k^2 = \dfrac {40 \paren {40 + 1} \paren {2 \times 40 + 1} } 6$

The $40$th square pyramidal number:

$22 \, 140 = \ds \sum_{k \mathop = 1}^{40} k^2 = \dfrac {40 \paren {40 + 1} \paren {2 \times 40 + 1} } 6$

Also see

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