231

Number
$231$ (two hundred and thirty-one) is:


 * $3 \times 7 \times 11$


 * The $11$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $120$, $153$, $190$:
 * $231 = \ds \sum_{k \mathop = 1}^{11} \paren {4 k - 3} = 11 \paren {2 \times 11 - 1}$


 * The number of integer partitions for $16$:
 * $\map p {16} = 231$


 * The $21$st triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $136$, $153$, $171$, $190$, $210$:
 * $231 = \ds \sum_{k \mathop = 1}^{21} k = \dfrac {21 \times \paren {21 + 1} } 2$


 * The $22$nd sphenic number after $30$, $42$, $66$, $70$, $78$, $102$, $105$, $110$, $114$, $130$, $138$, $154$, $165$, $170$, $174$, $182$, $186$, $190$, $195$, $222$, $230$:
 * $231 = 3 \times 7 \times 11$


 * The $44$th lucky number:
 * $1$, $3$, $7$, $9$, $13$, $15$, $21$, $\ldots$, $163$, $169$, $171$, $189$, $193$, $195$, $201$, $205$, $211$, $219$, $223$, $231$, $\ldots$