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232204131440 = 24543233928859
BaseRepresentation
bin1101100001000001110…
…0011101110001110000
3211012100201001001210022
43120100130131301300
512301023224201230
6254401220223012
722530143360021
oct3302034356160
9735321031708
10232204131440
118a5281a6866
123900483aa68
1318b87231258
14b34b160c48
1560908341e5
hex361071dc70

232204131440 has 80 divisors (see below), whose sum is σ = 552685161600. Its totient is φ = 90679685376.

The previous prime is 232204131421. The next prime is 232204131557. The reversal of 232204131440 is 44131402232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 8031731 + ... + 8060589.

It is an arithmetic number, because the mean of its divisors is an integer number (6908564520).

Almost surely, 2232204131440 is an apocalyptic number.

232204131440 is a gapful number since it is divisible by the number (20) 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 232204131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276342580800).

232204131440 is an abundant number, since it is smaller than the sum of its proper divisors (320481030160).

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

232204131440 is a wasteful number, since it uses less digits than its factorization.

232204131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31254 (or 31248 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 232204131440 its reverse (44131402232), we get a palindrome (276335533672).

The spelling of 232204131440 in words is "two hundred thirty-two billion, two hundred four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2339 3440 4678 9356 11695 18712 23390 28859 37424 46780 57718 93560 100577 115436 144295 187120 201154 230872 288590 402308 461744 502885 577180 804616 1005770 1154360 1240937 1609232 2011540 2308720 2481874 4023080 4963748 6204685 8046160 9927496 12409370 19854992 24818740 49637480 67501201 99274960 135002402 270004804 337506005 540009608 675012010 1080019216 1350024020 2700048040 2902551643 5400096080 5805103286 11610206572 14512758215 23220413144 29025516430 46440826288 58051032860 116102065720 232204131440