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225505412531 = 7523183133641
BaseRepresentation
bin1101001000000100101…
…0111000010110110011
3210120001212012212221222
43102001022320112303
512143313341200111
6251332403335255
722202143244210
oct3220112702663
9716055185858
10225505412531
11876aaa21133
123785538152b
131835a484259
14acb362cb07
155cec6cd7db
hex34812b85b3

225505412531 has 16 divisors (see below), whose sum is σ = 258361947648. Its totient is φ = 192809678400.

The previous prime is 225505412527. The next prime is 225505412543. The reversal of 225505412531 is 135214505522.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 225505412531 - 22 = 225505412527 is a prime.

It is a super-2 number, since 2×2255054125312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225505412491 and 225505412500.

It is not an unprimeable number, because it can be changed into a prime (225505412521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6686471 + ... + 6720111.

It is an arithmetic number, because the mean of its divisors is an integer number (16147621728).

Almost surely, 2225505412531 is an apocalyptic number.

225505412531 is a deficient number, since it is larger than the sum of its proper divisors (32856535117).

225505412531 is a wasteful number, since it uses less digits than its factorization.

225505412531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36002.

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 225505412531 in words is "two hundred twenty-five billion, five hundred five million, four hundred twelve thousand, five hundred thirty-one".

Divisors: 1 7 523 1831 3661 12817 33641 235487 957613 6703291 17594243 61596671 123159701 431176697 32215058933 225505412531