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232013120 = 265725041
BaseRepresentation
bin11011101010000…
…11110101000000
3121011120111011112
431311003311000
5433343404440
635004502452
75515036043
oct1565036500
9534514145
10232013120
11109a68989
126584aa28
13390b5691
1422b56c5a
151557e965
hexdd43d40

232013120 has 28 divisors (see below), whose sum is σ = 552482004. Its totient is φ = 92805120.

The previous prime is 232013081. The next prime is 232013141. The reversal of 232013120 is 21310232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66324736 + 165688384 = 8144^2 + 12872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232013095 and 232013104.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 362201 + ... + 362840.

Almost surely, 2232013120 is an apocalyptic number.

232013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232013120 is an abundant number, since it is smaller than the sum of its proper divisors (320468884).

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

232013120 is an equidigital number, since it uses as much as digits as its factorization.

232013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725058 (or 725048 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 232013120 is about 15231.9768907388. The cubic root of 232013120 is about 614.4749479064.

Adding to 232013120 its reverse (21310232), we get a palindrome (253323352).

The spelling of 232013120 in words is "two hundred thirty-two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 725041 1450082 2900164 3625205 5800328 7250410 11600656 14500820 23201312 29001640 46402624 58003280 116006560 232013120