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232413324020 = 225101317362953
BaseRepresentation
bin1101100001110011101…
…0011110001011110100
3211012220021200011001122
43120130322132023310
512301440302332040
6254434052043112
722535263441643
oct3303472361364
9735807604048
10232413324020
118a625298299
1239062903498
1318bbb686747
14b36ac5735a
1560a3da71b5
hex361ce9e2f4

232413324020 has 48 divisors (see below), whose sum is σ = 494456589648. Its totient is φ = 91754265600.

The previous prime is 232413323957. The next prime is 232413324043. The reversal of 232413324020 is 20423314232.

232413324020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22390932496 + 210022391524 = 149636^2 + 458282^2 .

It is a congruent number.

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, 458864 + ... + 821816.

It is an arithmetic number, because the mean of its divisors is an integer number (10301178951).

Almost surely, 2232413324020 is an apocalyptic number.

232413324020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232413324020 is an abundant number, since it is smaller than the sum of its proper divisors (262043265628).

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

232413324020 is a wasteful number, since it uses less digits than its factorization.

232413324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363380 (or 363378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 232413324020 its reverse (20423314232), we get a palindrome (252836638252).

The spelling of 232413324020 in words is "two hundred thirty-two billion, four hundred thirteen million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 317 404 505 634 1010 1268 1585 2020 3170 6340 32017 64034 128068 160085 320170 362953 640340 725906 1451812 1814765 3629530 7259060 36658253 73316506 115056101 146633012 183291265 230112202 366582530 460224404 575280505 733165060 1150561010 2301122020 11620666201 23241332402 46482664804 58103331005 116206662010 232413324020