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232123232232 = 23323223933781
BaseRepresentation
bin1101100000101110011…
…1110110111111101000
3211012011001210221221100
43120023213312333220
512300342021412412
6254345210241400
722525141630203
oct3301347667750
9735131727840
10232123232232
118a496571011
1238ba1726260
1318b735477b8
14b34050293a
1560886a3edc
hex360b9f6fe8

232123232232 has 24 divisors (see below), whose sum is σ = 628667087490. Its totient is φ = 77374410720.

The previous prime is 232123232219. The next prime is 232123232233. The reversal of 232123232232 is 232232321232.

It can be written as a sum of positive squares in only one way, i.e., 209190975876 + 22932256356 = 457374^2 + 151434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232123232196 and 232123232205.

It is not an unprimeable number, because it can be changed into a prime (232123232233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1611966819 + ... + 1611966962.

Almost surely, 2232123232232 is an apocalyptic number.

It is an amenable number.

232123232232 is an abundant number, since it is smaller than the sum of its proper divisors (396543855258).

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

232123232232 is a wasteful number, since it uses less digits than its factorization.

232123232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223933793 (or 3223933786 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

Adding to 232123232232 its reverse (232232321232), we get a palindrome (464355553464).

The spelling of 232123232232 in words is "two hundred thirty-two billion, one hundred twenty-three million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3223933781 6447867562 9671801343 12895735124 19343602686 25791470248 29015404029 38687205372 58030808058 77374410744 116061616116 232123232232