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22142113412232 = 23311191439118543
BaseRepresentation
bin1010000100011010111001…
…10011011111010010001000
32220101202122221202200221010
411002031130303133102020
510400234022013142412
6115031540234443520
74443500132423652
oct502153463372210
986352587680833
1022142113412232
117067465860940
122597358b935a0
13c47cb9212978
14567980cb76d2
15285e7939b33c
hex14235ccdf488

22142113412232 has 64 divisors (see below), whose sum is σ = 60703747522560. Its totient is φ = 6674601838400.

The previous prime is 22142113412213. The next prime is 22142113412303. The reversal of 22142113412232 is 23221431124122.

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 22142113412232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219508848 + ... + 219609695.

It is an arithmetic number, because the mean of its divisors is an integer number (948496055040).

Almost surely, 222142113412232 is an apocalyptic number.

22142113412232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22142113412232 is an abundant number, since it is smaller than the sum of its proper divisors (38561634110328).

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

22142113412232 is a wasteful number, since it uses less digits than its factorization.

22142113412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439118754 (or 439118750 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 22142113412232 its reverse (23221431124122), we get a palindrome (45363544536354).

The spelling of 22142113412232 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirteen million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 264 382 573 764 1146 1528 2101 2292 4202 4584 6303 8404 12606 16808 25212 50424 439118543 878237086 1317355629 1756474172 2634711258 3512948344 4830303973 5269422516 9660607946 10538845032 14490911919 19321215892 28981823838 38642431784 57963647676 83871641713 115927295352 167743283426 251614925139 335486566852 503229850278 670973133704 922588058843 1006459700556 1845176117686 2012919401112 2767764176529 3690352235372 5535528353058 7380704470744 11071056706116 22142113412232