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218223926082 = 232103210692
BaseRepresentation
bin1100101100111100101…
…0001101101101000010
3202212021101211001100200
43023033022031231002
512033410311113312
6244130052030030
721523535523561
oct3131712155502
9685241731320
10218223926082
1184603798638
1236362902316
1317769a631a6
14a7c255bbd8
155a233110dc
hex32cf28db42

218223926082 has 54 divisors (see below), whose sum is σ = 477900598617. Its totient is φ = 71967696912.

The previous prime is 218223926077. The next prime is 218223926083. The reversal of 218223926082 is 280629322812.

218223926082 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 2 + 39 + 2 + 608 + 2 = 666.

218223926082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217994676201 + 229249881 = 466899^2 + 15141^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=330321.

It is not an unprimeable number, because it can be changed into a prime (218223926083) 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 26 ways as a sum of consecutive naturals, for example, 204137844 + ... + 204138912.

Almost surely, 2218223926082 is an apocalyptic number.

218223926082 is an abundant number, since it is smaller than the sum of its proper divisors (259676672535).

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

218223926082 is an equidigital number, since it uses as much as digits as its factorization.

218223926082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 218223926082 in words is "two hundred eighteen billion, two hundred twenty-three million, nine hundred twenty-six thousand, eighty-two".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1069 1854 2138 3207 6414 9621 10609 19242 21218 31827 63654 95481 110107 190962 220214 330321 660642 990963 1142761 1981926 2285522 3428283 6856566 10284849 11341021 20569698 22682042 34023063 68046126 102069189 117704383 204138378 235408766 353113149 706226298 1059339447 2118678894 12123551449 24247102898 36370654347 72741308694 109111963041 218223926082