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151082232 = 23377271237
BaseRepresentation
bin10010000000101…
…01010011111000
3101112021202212020
421000111103320
5302134112412
622554114440
73513114660
oct1100252370
9345252766
10151082232
1178311354
124271ba20
13253ba692
14160cb1a0
15d3e518c
hex90154f8

151082232 has 64 divisors (see below), whose sum is σ = 432606720. Its totient is φ = 43072128.

The previous prime is 151082219. The next prime is 151082233. The reversal of 151082232 is 232280151.

It is a super-2 number, since 2×1510822322 = 45651681652203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151082233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121518 + ... + 122754.

It is an arithmetic number, because the mean of its divisors is an integer number (6759480).

Almost surely, 2151082232 is an apocalyptic number.

151082232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151082232 is an abundant number, since it is smaller than the sum of its proper divisors (281524488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151082232 is a wasteful number, since it uses less digits than its factorization.

151082232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 151082232 is about 12291.5512446558. The cubic root of 151082232 is about 532.6040494069.

The spelling of 151082232 in words is "one hundred fifty-one million, eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 727 1237 1454 2181 2474 2908 3711 4362 4948 5089 5816 7422 8659 8724 9896 10178 14844 15267 17318 17448 20356 25977 29688 30534 34636 40712 51954 61068 69272 103908 122136 207816 899299 1798598 2697897 3597196 5395794 6295093 7194392 10791588 12590186 18885279 21583176 25180372 37770558 50360744 75541116 151082232