244

Number
$244$ (two hundred and forty-four) is:


 * $2^2 \times 61$


 * The $37$th nontotient:
 * $\nexists m \in \Z_{>0}: \phi \left({m}\right) = 244$
 * where $\phi \left({m}\right)$ denotes the Euler $\phi$ function


 * The $23$rd noncototient after $10, 26, 34, 50, \ldots, 170, 172, 186, 202, 206, 218, 222, 232$:
 * $\nexists m \in \Z_{>0}: m - \phi \left({m}\right) = 244$
 * where $\phi \left({m}\right)$ denotes the Euler $\phi$ function


 * The $3$rd of the $1$st quadruple of consecutive integers which all have an equal divisors:
 * $\tau \left({242}\right) = \tau \left({243}\right) = \tau \left({244}\right) = \tau \left({245}\right) = 6$


 * The length of the $2$nd longest face diagonal of the smallest cuboid whose edges and the diagonals of whose faces are all integers:
 * The lengths of the edges are $44, 117, 240$
 * The lengths of the diagonals of the faces are $125, 244, 267$.

Also see

 * Cuboid with Integer Edges and Face Diagonals