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232232220220 = 2257111311600011
BaseRepresentation
bin1101100001001000011…
…1100111011000111100
3211012102122220010100111
43120102013213120330
512301102422021340
6254404102235404
722530634205350
oct3302207473074
9735378803314
10232232220220
118a542041330
1239012125b64
1318b8ccb7330
14b350b93460
156093031aea
hex36121e763c

232232220220 has 96 divisors (see below), whose sum is σ = 654797477376. Its totient is φ = 66816057600.

The previous prime is 232232220089. The next prime is 232232220223. The reversal of 232232220220 is 22022232232.

232232220220 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 232232220191 and 232232220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232232220223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5779986 + ... + 5820025.

It is an arithmetic number, because the mean of its divisors is an integer number (6820807056).

Almost surely, 2232232220220 is an apocalyptic number.

232232220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232232220220 is an abundant number, since it is smaller than the sum of its proper divisors (422565257156).

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

232232220220 is a wasteful number, since it uses less digits than its factorization.

232232220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600051 (or 11600049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 232232220220 its reverse (22022232232), we get a palindrome (254254452452).

The spelling of 232232220220 in words is "two hundred thirty-two billion, two hundred thirty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 11600011 23200022 46400044 58000055 81200077 116000110 127600121 150800143 162400154 232000220 255200242 301600286 324800308 406000385 510400484 603200572 638000605 754000715 812000770 893200847 1055601001 1276001210 1508001430 1624001540 1658801573 1786401694 2111202002 2552002420 3016002860 3317603146 3572803388 4222404004 4466004235 5278005005 6635206292 8294007865 8932008470 10556010010 11611611011 16588015730 17864016940 21112020020 23223222022 33176031460 46446444044 58058055055 116116110110 232232220220