244

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


 * $2^2 \times 61$


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


 * The $23$rd noncototient after $10$, $26$, $34$, $50$, $52$, $58$, $\ldots$, $170$, $172$, $186$, $202$, $206$, $218$, $222$, $232$:
 * $\nexists m \in \Z_{>0}: m - \map \phi m = 244$
 * where $\map \phi m$ denotes the Euler $\phi$ function


 * The $2$nd of the $8$th pair of consecutive integers which both have $6$ divisors:
 * $\map {\sigma_0} {243} = \map {\sigma_0} {245} = 6$


 * The $1$st of the $9$th pair of consecutive integers which both have $6$ divisors:
 * $\map {\sigma_0} {244} = \map {\sigma_0} {245} = 6$


 * The $3$rd of the $1$st quadruple of consecutive integers which all have an equal divisors:
 * $\map {\sigma_0} {242} = \map {\sigma_0} {243} = \map {\sigma_0} {244} = \map {\sigma_0} {245} = 6$


 * 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