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232423324232 = 231110146215659
BaseRepresentation
bin1101100001110110000…
…0100111101001001000
3211012220222111012202212
43120131200213221020
512302000332333412
6254435050244252
722535444442041
oct3303540475110
9735828435685
10232423324232
118a62a9a8630
1239066126688
1318bc0778428
14b36c2db8c8
1560a4bd0222
hex361d827a48

232423324232 has 64 divisors (see below), whose sum is σ = 480307147200. Its totient is φ = 104559840000.

The previous prime is 232423324187. The next prime is 232423324277.

232423324232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (232423324187) and next prime (232423324277).

It is an unprimeable number.

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, 41068619 + ... + 41074277.

It is an arithmetic number, because the mean of its divisors is an integer number (7504799175).

Almost surely, 2232423324232 is an apocalyptic number.

232423324232 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 232423324232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240153573600).

232423324232 is an abundant number, since it is smaller than the sum of its proper divisors (247883822968).

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

232423324232 is a wasteful number, since it uses less digits than its factorization.

232423324232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10394 counting only the distinct ones).

The product of its digits is 82944, while the sum is 32.

It can be divided in two parts, 232423 and 324232, that added together give a palindrome (556655).

The spelling of 232423324232 in words is "two hundred thirty-two billion, four hundred twenty-three million, three hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 4621 5659 8888 9242 11318 18484 22636 36968 45272 50831 62249 101662 124498 203324 248996 406648 466721 497992 571559 933442 1143118 1866884 2286236 3733768 4572472 5133931 6287149 10267862 12574298 20535724 25148596 26150239 41071448 50297192 52300478 104600956 209201912 287652629 575305258 1150610516 2301221032 2641174139 5282348278 10564696556 21129393112 29052915529 58105831058 116211662116 232423324232