223

Number

$223$ (two hundred and twenty-three) is:

The largest positive integer which cannot be expressed as the sum of less than $37$ positive fifth powers:

$223 = 31 \times 1^5 + 6 \times 2^5$

The $9$th near-repdigit prime after $101$, $113$, $131$, $151$, $181$, $191$, $199$, $211$

The $14$th integer after $7$, $13$, $19$, $35$, $38$, $41$, $57$, $65$, $70$, $125$, $130$, $190$, $205$ the decimal representation of whose square can be split into two parts which are each themselves square:

$223^2 = 49 \, 729$; $49 = 7^2$, $729 = 27^2$

The $18$th long period prime after $7$, $17$, $19$, $23$, $29$, $47$, $59$, $61$, $97$, $109$, $113$, $131$, $149$, $167$, $179$, $181$, $193$

The $21$st left-truncatable prime after $2$, $3$, $5$, $7$, $13$, $17$, $23$, $37$, $43$, $47$, $53$, $67$, $73$, $83$, $97$, $113$, $137$, $167$, $173$, $197$

The $43$rd lucky number:

$1$, $3$, $7$, $9$, $13$, $15$, $21$, $\ldots$, $163$, $169$, $171$, $189$, $193$, $195$, $201$, $205$, $211$, $219$, $223$, $\ldots$

The $44$th positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.