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232054152 = 233117312041
BaseRepresentation
bin11011101010011…
…01110110001000
3121011122120110020
431311031312020
5433401213102
635005420440
75515266501
oct1565156610
9534576406
10232054152
11109a967a0
126586a720
13390cb265
1422b67ba8
151558bbbc
hexdd4dd88

232054152 has 64 divisors (see below), whose sum is σ = 641597760. Its totient is φ = 69350400.

The previous prime is 232054093. The next prime is 232054169. The reversal of 232054152 is 251450232.

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

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13252 + ... + 25292.

It is an arithmetic number, because the mean of its divisors is an integer number (10024965).

Almost surely, 2232054152 is an apocalyptic number.

232054152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232054152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320798880).

232054152 is an abundant number, since it is smaller than the sum of its proper divisors (409543608).

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

232054152 is a wasteful number, since it uses less digits than its factorization.

232054152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 232054152 is about 15233.3237344973. The cubic root of 232054152 is about 614.5111694929.

The spelling of 232054152 in words is "two hundred thirty-two million, fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 12041 19272 24082 36123 48164 72246 96328 132451 144492 264902 288984 397353 529804 794706 878993 1059608 1589412 1757986 2636979 3178824 3515972 5273958 7031944 9668923 10547916 19337846 21095832 29006769 38675692 58013538 77351384 116027076 232054152