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152414232 = 23347135119
BaseRepresentation
bin10010001010110…
…10100000011000
3101121210110000120
421011122200120
5303004223412
623042433240
73530333235
oct1105324030
9347713016
10152414232
1179041083
1243062820
1325765a49
141635678c
15d5a9b8c
hex915a818

152414232 has 32 divisors (see below), whose sum is σ = 389145600. Its totient is φ = 49723424.

The previous prime is 152414203. The next prime is 152414239. The reversal of 152414232 is 232414251.

It is a super-2 number, since 2×1524142322 = 46460196232299648, 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 (152414239) 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, 66432 + ... + 68687.

It is an arithmetic number, because the mean of its divisors is an integer number (12160800).

Almost surely, 2152414232 is an apocalyptic number.

152414232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152414232 is an abundant number, since it is smaller than the sum of its proper divisors (236731368).

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

152414232 is a wasteful number, since it uses less digits than its factorization.

152414232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135175 (or 135171 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 152414232 is about 12345.6159020115. The cubic root of 152414232 is about 534.1646871027.

Adding to 152414232 its reverse (232414251), we get a palindrome (384828483).

The spelling of 152414232 in words is "one hundred fifty-two million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 135119 270238 405357 540476 810714 1080952 1621428 3242856 6350593 12701186 19051779 25402372 38103558 50804744 76207116 152414232