220

Number
$220$ (two hundred and twenty) is:


 * $2^2 \times 5 \times 11$


 * The smaller of the $1$st amicable pair, with $284$:
 * $\map {\sigma_1} {220} = \map {\sigma_1} {284} = 504 = 220 + 284$


 * which is also the $1$st Thabit pair:
 * $220 = 2^2 \times 11 \times 5 = 2^2 \paren {3 \times 2^2 - 1} \paren {3 \times 2^{2 - 1} - 1}$, $284 = 2^2 \paren {9 \times 2^{2 \times 2 - 1} - 1}$


 * The $10$th tetrahedral number, after $1$, $4$, $10$, $20$, $35$, $56$, $84$, $120$, $165$:
 * $220 = 1 + 3 + 6 + 10 + 15 + 21 + 28 + 36 + 45 + 55 = \dfrac {10 \paren {10 + 1} \paren {10 + 2} } 6$