224

Number
$224$ (two hundred and twenty-four) is:


 * $2^5 \times 7$


 * The $3$rd element of the $1$st set of $3$ integers $T$ such that $m \map \tau m$ is equal for each $m \in T$:
 * $168 \times \map \tau {168} = 192 \times \map \tau {192} = 224 \times \map \tau {224} = 2688$


 * The $8$th positive integer after $64$, $96$, $128$, $144$, $160$, $192$, $216$ with $6$ or more prime factors:
 * $224 = 2 \times 2 \times 2 \times 2 \times 2 \times 7$


 * The $25$th Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $15$, $24$, $36$, $111$, $112$, $115$, $128$, $132$, $135$, $144$, $175$, $212$, $216$:
 * $224 = 14 \times 16 = 14 \times \left({2 \times 2 \times 4}\right)$