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252231432 = 23323219867
BaseRepresentation
bin11110000100010…
…11111100001000
3122120121200110220
433002023330020
51004032401212
641010110040
76151634415
oct1702137410
9576550426
10252231432
1111a418232
127057b320
134034428b
14256db10c
151722538c
hexf08bf08

252231432 has 48 divisors (see below), whose sum is σ = 659220240. Its totient is φ = 80417568.

The previous prime is 252231389. The next prime is 252231443. The reversal of 252231432 is 234132252.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2763 + ... + 22629.

It is an arithmetic number, because the mean of its divisors is an integer number (13733755).

Almost surely, 2252231432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252231432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329610120).

252231432 is an abundant number, since it is smaller than the sum of its proper divisors (406988808).

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

252231432 is a wasteful number, since it uses less digits than its factorization.

252231432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19922 (or 19895 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 252231432 is about 15881.7956163653. The cubic root of 252231432 is about 631.8292614143.

Adding to 252231432 its reverse (234132252), we get a palindrome (486363684).

The spelling of 252231432 in words is "two hundred fifty-two million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 529 552 1058 1587 2116 3174 4232 6348 12696 19867 39734 59601 79468 119202 158936 238404 456941 476808 913882 1370823 1827764 2741646 3655528 5483292 10509643 10966584 21019286 31528929 42038572 63057858 84077144 126115716 252231432