224

Previous  ... Next

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): $168$