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90232200331 = 7137113965671
BaseRepresentation
bin101010000001001000…
…0100001110010001011
322121220102210201002121
41110002100201302023
52434243420402311
6105241353112111
76343016022310
oct1240220416213
9277812721077
1090232200331
11352a37a7699
12155a26b8637
13867cc71c20
14451daa2d07
152531946b71
hex1502421c8b

90232200331 has 16 divisors (see below), whose sum is σ = 112619179008. Its totient is φ = 70386976800.

The previous prime is 90232200281. The next prime is 90232200337. The reversal of 90232200331 is 13300223209.

It is not a de Polignac number, because 90232200331 - 235 = 55872461963 is a prime.

It is a super-2 number, since 2×902322003312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90232200296 and 90232200305.

It is not an unprimeable number, because it can be changed into a prime (90232200337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6976375 + ... + 6989296.

It is an arithmetic number, because the mean of its divisors is an integer number (7038698688).

Almost surely, 290232200331 is an apocalyptic number.

90232200331 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

90232200331 is a deficient number, since it is larger than the sum of its proper divisors (22386978677).

90232200331 is a wasteful number, since it uses less digits than its factorization.

90232200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965762.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 90232200331 in words is "ninety billion, two hundred thirty-two million, two hundred thousand, three hundred thirty-one".

Divisors: 1 7 13 71 91 497 923 6461 13965671 97759697 181553723 991562641 1270876061 6940938487 12890314333 90232200331