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232320400440 = 23353835054839
BaseRepresentation
bin1101100001011101011…
…1111111110000111000
3211012122210211010212120
43120113113333300320
512301243010303230
6254420532241240
722533054551502
oct3302727776070
9735583733776
10232320400440
118a58789a447
1239037770220
1318ba534cb8b
14b35c788d72
15609ab4e310
hex36175ffc38

232320400440 has 64 divisors (see below), whose sum is σ = 698781081600. Its totient is φ = 61790339712.

The previous prime is 232320400409. The next prime is 232320400457. The reversal of 232320400440 is 44004023232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232320400440.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2481460 + ... + 2573379.

It is an arithmetic number, because the mean of its divisors is an integer number (10918454400).

Almost surely, 2232320400440 is an apocalyptic number.

232320400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232320400440 is an abundant number, since it is smaller than the sum of its proper divisors (466460681160).

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

232320400440 is a wasteful number, since it uses less digits than its factorization.

232320400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055236 (or 5055232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 232320400440 its reverse (44004023232), we get a palindrome (276324423672).

The spelling of 232320400440 in words is "two hundred thirty-two billion, three hundred twenty million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 383 766 1149 1532 1915 2298 3064 3830 4596 5745 7660 9192 11490 15320 22980 45960 5054839 10109678 15164517 20219356 25274195 30329034 40438712 50548390 60658068 75822585 101096780 121316136 151645170 202193560 303290340 606580680 1936003337 3872006674 5808010011 7744013348 9680016685 11616020022 15488026696 19360033370 23232040044 29040050055 38720066740 46464080088 58080100110 77440133480 116160200220 232320400440