242

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


 * $2 \times 11^2$


 * The $36$th nontotient:
 * $\nexists m \in \Z_{>0}: \phi \left({m}\right) = 242$
 * where $\phi \left({m}\right)$ 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:
 * $\tau \left({242}\right) = \tau \left({243}\right) = 6$


 * The $1$st of the $1$st quadruple of consecutive integers which all have an equal divisors:
 * $\tau \left({242}\right) = \tau \left({243}\right) = \tau \left({244}\right) = \tau \left({245}\right) = 6$