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221535257074764 = 223191396990258017
BaseRepresentation
bin110010010111110000110010…
…010011011001110001001100
31002001101120012222010200011120
4302113300302103121301030
5213014113201302343024
62103055520410520540
764443252122220423
oct6227606223316114
91061346188120146
10221535257074764
116465163622a896
1220a1b025436150
13967c8ba22b819
143c9c513c162ba
151a929916d0479
hexc97c324d9c4c

221535257074764 has 48 divisors (see below), whose sum is σ = 548036228611200. Its totient is φ = 69455203646976.

The previous prime is 221535257074759. The next prime is 221535257074801. The reversal of 221535257074764 is 467470752535122.

It is a junction number, because it is equal to n+sod(n) for n = 221535257074698 and 221535257074707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3495097317 + ... + 3495160700.

It is an arithmetic number, because the mean of its divisors is an integer number (11417421429400).

Almost surely, 2221535257074764 is an apocalyptic number.

It is an amenable number.

221535257074764 is an abundant number, since it is smaller than the sum of its proper divisors (326500971536436).

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

221535257074764 is a wasteful number, since it uses less digits than its factorization.

221535257074764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990258182 (or 6990258180 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 60.

The spelling of 221535257074764 in words is "two hundred twenty-one trillion, five hundred thirty-five billion, two hundred fifty-seven million, seventy-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1668 2641 5282 7923 10564 15846 31692 6990258017 13980516034 20970774051 27961032068 41941548102 83883096204 132814902323 265629804646 398444706969 531259609292 796889413938 971645864363 1593778827876 1943291728726 2914937593089 3886583457452 5829875186178 11659750372356 18461271422897 36922542845794 55383814268691 73845085691588 110767628537382 221535257074764