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232213130304 = 26310117876701
BaseRepresentation
bin1101100001000011111…
…0110010110001000000
3211012101022222020220120
43120100332302301000
512301033030132204
6254402141140240
722530313016541
oct3302076626100
9735338866816
10232213130304
118a532292841
123900785a680
1318b8906221c
14b34c4244c8
1560915106d9
hex3610fb2c40

232213130304 has 112 divisors (see below), whose sum is σ = 620920247616. Its totient is φ = 76583680000.

The previous prime is 232213130291. The next prime is 232213130323. The reversal of 232213130304 is 403031312232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34650154 + ... + 34656854.

Almost surely, 2232213130304 is an apocalyptic number.

232213130304 is a gapful number since it is divisible by the number (24) 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 232213130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310460123808).

232213130304 is an abundant number, since it is smaller than the sum of its proper divisors (388707117312).

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

232213130304 is a wasteful number, since it uses less digits than its factorization.

232213130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 232213130304 its reverse (403031312232), we get a palindrome (635244442536).

The spelling of 232213130304 in words is "two hundred thirty-two billion, two hundred thirteen million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 1787 2424 3232 3574 4848 5361 6464 6701 7148 9696 10722 13402 14296 19392 20103 21444 26804 28592 40206 42888 53608 57184 80412 85776 107216 114368 160824 171552 180487 214432 321648 343104 360974 428864 541461 643296 676801 721948 1082922 1286592 1353602 1443896 2030403 2165844 2707204 2887792 4060806 4331688 5414408 5775584 8121612 8663376 10828816 11551168 11974687 16243224 17326752 21657632 23949374 32486448 34653504 35924061 43315264 47898748 64972896 71848122 95797496 129945792 143696244 191594992 287392488 383189984 574784976 766379968 1149569952 1209443387 2299139904 2418886774 3628330161 4837773548 7256660322 9675547096 14513320644 19351094192 29026641288 38702188384 58053282576 77404376768 116106565152 232213130304