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232221332112 = 24371162830447
BaseRepresentation
bin1101100001000101111…
…0000101001010010000
3211012101220101221200020
43120101132011022100
512301042130111422
6254403033023440
722530442516530
oct3302136051220
9735356357606
10232221332112
118a5369849a0
123900a554b80
1318b8a974473
14b34d55b4c0
1560920d095c
hex3611785290

232221332112 has 80 divisors (see below), whose sum is σ = 747933652992. Its totient is φ = 60317228160.

The previous prime is 232221332099. The next prime is 232221332117. The reversal of 232221332112 is 211233122232.

232221332112 is digitally balanced in base 3, 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 (24).

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

It is not an unprimeable number, because it can be changed into a prime (232221332117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31411528 + ... + 31418919.

Almost surely, 2232221332112 is an apocalyptic number.

232221332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232221332112 is an abundant number, since it is smaller than the sum of its proper divisors (515712320880).

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

232221332112 is a wasteful number, since it uses less digits than its factorization.

232221332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62830476 (or 62830470 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 232221332112 its reverse (211233122232), we get a palindrome (443454454344).

The spelling of 232221332112 in words is "two hundred thirty-two billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 62830447 125660894 188491341 251321788 376982682 439813129 502643576 691134917 753965364 879626258 1005287152 1319439387 1382269834 1507930728 1759252516 2073404751 2638878774 2764539668 3015861456 3518505032 4146809502 4837944419 5277757548 5529079336 7037010064 8293619004 9675888838 10555515096 11058158672 14513833257 16587238008 19351777676 21111030192 29027666514 33174476016 38703555352 58055333028 77407110704 116110666056 232221332112