# 242

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## Number

$242$ (two hundred and forty-two) is:

$2 \times 11^2$

The $36$th nontotient:
$\nexists m \in \Z_{>0}: \map \phi m = 242$
where $\map \phi m$ denotes the Euler $\phi$ function

The $9$th integer after $0$, $1$, $2$, $4$, $8$, $121$, $151$, $212$ which is palindromic in both decimal and ternary:
$242_{10} = 22 \, 222_3$

The $1$st of the $7$th pair of consecutive integers which both have $6$ divisors:
$\map {\sigma_0} {242} = \map {\sigma_0} {243} = 6$

The $1$st of the $1$st quadruple of consecutive integers which all have an equal divisors:
$\map {\sigma_0} {242} = \map {\sigma_0} {243} = \map {\sigma_0} {244} = \map {\sigma_0} {245} = 6$

### Arithmetic Functions on $242$

 $\ds \map {\sigma_0} { 242 }$ $=$ $\ds 6$ $\sigma_0$ of $242$