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232200033022122 = 231129457701337853
BaseRepresentation
bin110100110010111101001000…
…011111000011000010101010
31010110011002212112121001100120
4310302331020133003002222
5220413331131423201442
62141503120023344110
766623620165112364
oct6462751037030252
91113132775531316
10232200033022122
1167a935322203a0
1222061b092b2036
139c744a5074079
14414a782099d34
151bca0c813e4ec
hexd32f487c30aa

232200033022122 has 128 divisors (see below), whose sum is σ = 525323421423360. Its totient is φ = 67777197680640.

The previous prime is 232200033022057. The next prime is 232200033022159. The reversal of 232200033022122 is 221220330002232.

It is a junction number, because it is equal to n+sod(n) for n = 232200033022092 and 232200033022101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6134238148 + ... + 6134276000.

It is an arithmetic number, because the mean of its divisors is an integer number (4104089229870).

Almost surely, 2232200033022122 is an apocalyptic number.

232200033022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 232200033022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262661710711680).

232200033022122 is an abundant number, since it is smaller than the sum of its proper divisors (293123388401238).

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

232200033022122 is a wasteful number, since it uses less digits than its factorization.

232200033022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45368.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232200033022122 its reverse (221220330002232), we get a palindrome (453420363024354).

The spelling of 232200033022122 in words is "two hundred thirty-two trillion, two hundred billion, thirty-three million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 457 638 914 957 1371 1914 2742 5027 7013 10054 13253 14026 15081 21039 26506 30162 37853 39759 42078 75706 77143 79518 113559 145783 154286 203377 227118 231429 291566 406754 416383 437349 462858 610131 832766 874698 1097737 1220262 1249149 2195474 2237147 2498298 3204941 3293211 4474294 6409882 6586422 6711441 9614823 12075107 13422882 17298821 19229646 24150214 34597642 35254351 36225321 51896463 70508702 72450642 92943289 103792926 105763053 185886578 190287031 211526106 265463089 278829867 380574062 501665809 530926178 557659734 570861093 796389267 1003331618 1022376179 1141722186 1504997427 1592778534 2044752358 2920093979 3009994854 3067128537 5518323899 5840187958 6134257074 7698429581 8760281937 11036647798 15396859162 16554971697 17520563874 23095288743 33109943394 46190577486 84682725391 121316631673 169365450782 242633263346 254048176173 363949895019 508096352346 727899790038 1334482948403 2668965896806 3518182318517 4003448845209 7036364637034 8006897690418 10554546955551 21109093911102 38700005503687 77400011007374 116100016511061 232200033022122