Thursday, October 6, 2016

Number of the day: 90220

Richard Dedekind was born on this day 185 years ago.

Properties of the number 90220:

90220 = 22 × 5 × 13 × 347 is the 81481th composite number and is not squarefree.
90220 has 4 distinct prime factors, 24 divisors, 27 antidivisors and 33216 totatives.
90220 has an emirp digit sum 13 in base 10.
90220 has a Fibonacci digit sum 13 in base 10.
90220 = 225562 - 225542 = 45162 - 45062 = 17482 - 17222 = 4122 - 2822 is the difference of 2 nonnegative squares in 4 ways.
90220 is the sum of 2 positive triangular numbers.
90220 is the difference of 2 positive pentagonal numbers in 3 ways.
90220 = 342 + 1502 + 2582 is the sum of 3 positive squares.
902202 = 541322 + 721762 = 222082 + 874442 = 458042 + 777282 = 347002 + 832802 is the sum of 2 positive squares in 4 ways.
902202 is the sum of 3 positive squares.
90220 is a divisor of 79346 - 1.
90220 is palindromic in (at least) the following bases: 3, 93, and -97.

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