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232213122020 = 225111151917041
BaseRepresentation
bin1101100001000011111…
…0110000101111100100
3211012101022221211112202
43120100332300233210
512301033024401040
6254402141034032
722530312653435
oct3302076605744
9735338854482
10232213122020
118a5322875a0
1239007855918
1318b8905b519
14b34c42148c
15609150d015
hex3610fb0be4

232213122020 has 48 divisors (see below), whose sum is σ = 532441921536. Its totient is φ = 84367680000.

The previous prime is 232213122013. The next prime is 232213122059. The reversal of 232213122020 is 20221312232.

It is a happy number.

232213122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232213121983 and 232213122001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205301 + ... + 711740.

It is an arithmetic number, because the mean of its divisors is an integer number (11092540032).

Almost surely, 2232213122020 is an apocalyptic number.

232213122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232213122020 is an abundant number, since it is smaller than the sum of its proper divisors (300228799516).

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

232213122020 is a wasteful number, since it uses less digits than its factorization.

232213122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918212 (or 918210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232213122020 its reverse (20221312232), we get a palindrome (252434434252).

The spelling of 232213122020 in words is "two hundred thirty-two billion, two hundred thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1151 2302 4604 5755 11510 12661 23020 25322 50644 63305 126610 253220 917041 1834082 3668164 4585205 9170410 10087451 18340820 20174902 40349804 50437255 100874510 201749020 1055514191 2111028382 4222056764 5277570955 10555141910 11610656101 21110283820 23221312202 46442624404 58053280505 116106561010 232213122020