2262

Number
$2262$ (two thousand, two hundred and sixty-two) is:


 * $2 \times 29 \times 39$


 * The $39$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $925$, $1001$, $1080$, $1162$, $1247$, $1335$, $1426$, $1520$, $1617$, $1717$, $1820$, $1926$, $2035$, $2147$:
 * $2262 = \displaystyle \sum_{k \mathop = 1}^{39} \paren {3 k - 2} = \dfrac {39 \paren {3 \times 39 - 1} } 2$


 * The $77$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $1617$, $1650$, $1717$, $1751$, $1820$, $1855$, $1926$, $1962$, $2072$, $2147$, $2185$:
 * $2262 = \displaystyle \sum_{k \mathop = 1}^{39} \paren {3 k - 2} = \dfrac {39 \paren {3 \times 39 - 1} } 2$