242

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:
 * $\map {\sigma_0} {242} = \map {\sigma_0} {243} = \map {\sigma_0} {244} = \map {\sigma_0} {245} = 6$

Also see