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221909108664996 = 223224827692
BaseRepresentation
bin110010011101001100111101…
…100110000010101010100100
31002002201022012022212012022100
4302131030331212002222210
5213041224323304234441
62103543345343532100
764512255403261554
oct6235147546025244
91062638168765270
10221909108664996
1164786140756985
1220a7b57b5ba030
1396a8c2943333c
143cb265b2d1164
151a9c5726abcb6
hexc9d33d982aa4

221909108664996 has 27 divisors (see below), whose sum is σ = 560937139501921. Its totient is φ = 73969673095104.

The previous prime is 221909108664973. The next prime is 221909108665039. The reversal of 221909108664996 is 699466801909122.

The square root of 221909108664996 is 14896614.

It is a perfect power (a square), and thus also a powerful number.

221909108664996 is a `hidden beast` number, since 2 + 21 + 9 + 0 + 9 + 108 + 6 + 6 + 499 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158090739615396 + 63818369049600 = 12573414^2 + 7988640^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 88138300 + ... + 90621068.

Almost surely, 2221909108664996 is an apocalyptic number.

221909108664996 is the 14896614-th square number.

It is an amenable number.

221909108664996 is an abundant number, since it is smaller than the sum of its proper divisors (339028030836925).

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

221909108664996 is an frugal number, since it uses more digits than its factorization.

221909108664996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965548 (or 2482774 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 221909108664996 in words is "two hundred twenty-one trillion, nine hundred nine billion, one hundred eight million, six hundred sixty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2482769 4965538 7448307 9931076 14896614 22344921 29793228 44689842 89379684 6164141907361 12328283814722 18492425722083 24656567629444 36984851444166 55477277166249 73969702888332 110954554332498 221909108664996