250

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Number

$250$ (two hundred and fifty) is:

$2 \times 5^3$

The $12$th positive integer after $50$, $65$, $85$, $125$, $130$, $145$, $170$, $185$, $200$, $205$, $221$ which can be expressed as the sum of two square numbers in two or more different ways:

$250 = 15^2 + 5^2 = 13^2 + 9^2$

and the $2$nd such which is also the sum of $2$ cube numbers:

$250 = 15^2 + 5^2 = 13^2 + 9^2 = 5^3 + 5^3$

Also see

• Previous  ... Next: Sum of 2 Squares in 2 Distinct Ways which is also Sum of Cubes
• Previous  ... Next: Sum of 2 Squares in 2 Distinct Ways

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $250$