244

Number

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

$2^2 \times 61$

$\nexists m \in \Z_{>0}: \map \phi m = 244$

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 $125, 244, 267$.

$\ds \map {\sigma_0} { 244 }$

$=$

$\ds 6$