258,474,216

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Number

$258 \, 474 \, 216$ is:

$2^3 \times 3 \times 7^2 \times 11 \times 13 \times 29 \times 53$


The $6$th and largest triangular number after $6$, $120$, $210$, $990$, $185 \, 136$ which can be expressed as the product of $3$ consecutive integers:
$258 \, 474 \, 216 = T_{22 \, 736} = 636 \times 637 \times 638$


The $22 \, 736$th triangular number:
$258 \, 474 \, 216 = \ds \sum_{k \mathop = 1}^{22 \, 736} k = \dfrac {22 \, 736 \times \paren {22 \, 736 + 1} } 2$


Also see


Sources