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332012222112 = 25328329094201
BaseRepresentation
bin1001101010011010111…
…10000111011010100000
31011201222111120101221010
410311031132013122200
520414430112101422
6412305130100520
732662400216064
oct4651536073240
91151874511833
10332012222112
1111889527560a
125441a27a740
132540205a17c
14120d8907aa4
158982cb1b0c
hex4d4d7876a0

332012222112 has 96 divisors (see below), whose sum is σ = 875120621760. Its totient is φ = 110215526400.

The previous prime is 332012222051. The next prime is 332012222119. The reversal of 332012222112 is 211222210233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3320122221122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332012222119) 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 15 ways as a sum of consecutive naturals, for example, 79029612 + ... + 79033812.

It is an arithmetic number, because the mean of its divisors is an integer number (9115839810).

Almost surely, 2332012222112 is an apocalyptic number.

332012222112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332012222112 is an abundant number, since it is smaller than the sum of its proper divisors (543108399648).

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

332012222112 is a wasteful number, since it uses less digits than its factorization.

332012222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 332012222112 its reverse (211222210233), we get a palindrome (543234432345).

The spelling of 332012222112 in words is "three hundred thirty-two billion, twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 283 566 849 1132 1698 2264 2909 3396 4201 4528 5818 6792 8402 8727 9056 11636 12603 13584 16804 17454 23272 25206 27168 33608 34908 46544 50412 67216 69816 93088 100824 134432 139632 201648 279264 403296 823247 1188883 1646494 2377766 2469741 3292988 3566649 4755532 4939482 6585976 7133298 9511064 9878964 12220709 13171952 14266596 19022128 19757928 24441418 26343904 28533192 36662127 38044256 39515856 48882836 57066384 73324254 79031712 97765672 114132768 146648508 195531344 293297016 391062688 586594032 1173188064 3458460647 6916921294 10375381941 13833842588 20750763882 27667685176 41501527764 55335370352 83003055528 110670740704 166006111056 332012222112