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232222310333112 = 233115697272126441
BaseRepresentation
bin110100110011010001111000…
…010100001111101010111000
31010110020020101002021200222210
4310303101320110033222320
5220414212242421124422
62141521242343415120
766625336222122051
oct6463217024175270
91113206332250883
10232222310333112
1167aa1a24183910
12220662a5a544a0
139c766154ab7a8
14414b8969c5728
151bca97dc9910c
hexd3347850fab8

232222310333112 has 128 divisors (see below), whose sum is σ = 635319628070400. Its totient is φ = 70150064793600.

The previous prime is 232222310333107. The next prime is 232222310333207. The reversal of 232222310333112 is 211333013222232.

232222310333112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232222310333112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108143812 + ... + 110270252.

It is an arithmetic number, because the mean of its divisors is an integer number (4963434594300).

Almost surely, 2232222310333112 is an apocalyptic number.

232222310333112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232222310333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317659814035200).

232222310333112 is an abundant number, since it is smaller than the sum of its proper divisors (403097317737288).

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

232222310333112 is a wasteful number, since it uses less digits than its factorization.

232222310333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127757 (or 2127753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 232222310333112 its reverse (211333013222232), we get a palindrome (443555323555344).

The spelling of 232222310333112 in words is "two hundred thirty-two trillion, two hundred twenty-two billion, three hundred ten million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 569 727 1138 1454 1707 2181 2276 2908 3414 4362 4552 5816 6259 6828 7997 8724 12518 13656 15994 17448 18777 23991 25036 31988 37554 47982 50072 63976 75108 95964 150216 191928 413663 827326 1240989 1654652 2126441 2481978 3309304 4252882 4550293 4963956 6379323 8505764 9100586 9927912 12758646 13650879 17011528 18201172 23390851 25517292 27301758 36402344 46781702 51034584 54603516 70172553 93563404 109207032 140345106 187126808 280690212 561380424 1209944929 1545922607 2419889858 3091845214 3629834787 4637767821 4839779716 6183690428 7259669574 9275535642 9679559432 12367380856 13309394219 14519339148 17005148677 18551071284 26618788438 29038678296 34010297354 37102142568 39928182657 51015446031 53237576876 68020594708 79856365314 102030892062 106475153752 136041189416 159712730628 204061784124 319425461256 408123568248 879629963383 1759259926766 2638889890149 3518519853532 5277779780298 7037039707064 9675929597213 10555559560596 19351859194426 21111119121192 29027788791639 38703718388852 58055577583278 77407436777704 116111155166556 232222310333112