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152228832 = 2537226531
BaseRepresentation
bin10010001001011…
…01001111100000
3101121110000200220
421010231033200
5302432310312
623034443040
73525631560
oct1104551740
9347400626
10152228832
1178a24858
1242b93480
13256cc542
1416308da0
15d56ec8c
hex912d3e0

152228832 has 48 divisors (see below), whose sum is σ = 456688512. Its totient is φ = 43493760.

The previous prime is 152228821. The next prime is 152228833. The reversal of 152228832 is 238822251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 152228793 and 152228802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152228833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112594 + ... + 113937.

It is an arithmetic number, because the mean of its divisors is an integer number (9514344).

Almost surely, 2152228832 is an apocalyptic number.

152228832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152228832 is an abundant number, since it is smaller than the sum of its proper divisors (304459680).

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

152228832 is a wasteful number, since it uses less digits than its factorization.

152228832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226551 (or 226543 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 152228832 is about 12338.1048787891. The cubic root of 152228832 is about 533.9480093585.

The spelling of 152228832 in words is "one hundred fifty-two million, two hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 226531 453062 679593 906124 1359186 1585717 1812248 2718372 3171434 3624496 4757151 5436744 6342868 7248992 9514302 10873488 12685736 19028604 21746976 25371472 38057208 50742944 76114416 152228832