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232213322196 = 2232171912418243
BaseRepresentation
bin1101100001000011111…
…1100001100111010100
3211012101100100000010200
43120100333201213110
512301033102302241
6254402145220500
722530314446152
oct3302077414724
9735340300120
10232213322196
118a532403a29
1239007931730
1318b890cb67b
14b34c4743d2
15609154c4b6
hex3610fe19d4

232213322196 has 144 divisors (see below), whose sum is σ = 627434615808. Its totient is φ = 72160358400.

The previous prime is 232213322167. The next prime is 232213322197. The reversal of 232213322196 is 691223312232.

232213322196 is a `hidden beast` number, since 2 + 32 + 213 + 322 + 1 + 96 = 666.

232213322196 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232213322196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213322197) 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 47 ways as a sum of consecutive naturals, for example, 28166851 + ... + 28175093.

It is an arithmetic number, because the mean of its divisors is an integer number (4357184832).

Almost surely, 2232213322196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232213322196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313717307904).

232213322196 is an abundant number, since it is smaller than the sum of its proper divisors (395221293612).

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

232213322196 is a wasteful number, since it uses less digits than its factorization.

232213322196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8697 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 232213322196 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 191 204 241 306 382 482 573 612 723 764 964 1146 1446 1719 2169 2292 2892 3247 3438 4097 4338 6494 6876 8194 8243 8676 9741 12291 12988 16388 16486 19482 24582 24729 29223 32972 36873 38964 46031 49164 49458 58446 73746 74187 92062 98916 116892 138093 140131 147492 148374 184124 276186 280262 296748 414279 420393 552372 560524 782527 828558 840786 1261179 1565054 1574413 1657116 1681572 1986563 2347581 2522358 3130108 3148826 3973126 4695162 4723239 5044716 5959689 6297652 7042743 7946252 9390324 9446478 11919378 14085486 14169717 17879067 18892956 23838756 26765021 28170972 28339434 33771571 35758134 53530042 56678868 67543142 71516268 80295063 101314713 107060084 135086284 160590126 202629426 240885189 303944139 321180252 379433533 405258852 481770378 607888278 758867066 963540756 1138300599 1215776556 1517734132 2276601198 3414901797 4553202396 6450370061 6829803594 12900740122 13659607188 19351110183 25801480244 38702220366 58053330549 77404440732 116106661098 232213322196