224
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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 $m \map {\sigma_0} m$ is equal for each $m \in T$:
- $168 \times \map {\sigma_0} {168} = 192 \times \map {\sigma_0} {192} = 224 \times \map {\sigma_0} {224} = 2688$
- 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 $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $15$, $24$, $36$, $111$, $112$, $115$, $128$, $132$, $135$, $144$, $175$, $212$, $216$:
- $224 = 14 \times 16 = 14 \times \paren {2 \times 2 \times 4}$
Also see
- Previous: Smallest Triplet of Integers whose Product with Divisor Count are Equal
- Previous ... Next: Numbers with 6 or more Prime Factors
- Previous ... Next: Zuckerman Number
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $168$