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232125048 = 23332937057
BaseRepresentation
bin11011101010111…
…11001001111000
3121011210011201000
431311133021320
5433411000143
635011125000
75516013261
oct1565371170
9534704630
10232125048
1110a034a91
12658a3760
13391245cc
1422b85968
15155a2bd3
hexdd5f278

232125048 has 64 divisors (see below), whose sum is σ = 667044000. Its totient is φ = 74704896.

The previous prime is 232125043. The next prime is 232125053. The reversal of 232125048 is 840521232.

It is an interprime number because it is at equal distance from previous prime (232125043) and next prime (232125053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232125043) 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, 12265 + ... + 24792.

Almost surely, 2232125048 is an apocalyptic number.

It is an amenable number.

232125048 is an abundant number, since it is smaller than the sum of its proper divisors (434918952).

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

232125048 is a wasteful number, since it uses less digits than its factorization.

232125048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37101 (or 37091 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 232125048 is about 15235.6505604454. The cubic root of 232125048 is about 614.5737438928.

The spelling of 232125048 in words is "two hundred thirty-two million, one hundred twenty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 37057 74114 111171 148228 222342 296456 333513 444684 667026 889368 1000539 1074653 1334052 2001078 2149306 2668104 3223959 4002156 4298612 6447918 8004312 8597224 9671877 12895836 19343754 25791672 29015631 38687508 58031262 77375016 116062524 232125048