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22164256653231 = 371195949163001
BaseRepresentation
bin1010000101000100001001…
…01001001111111110101111
32220110212211011011220010010
411002202010221033332233
510401114344200400411
6115050041405144303
74445212641031620
oct502420451177657
986425734156103
1022164256653231
117075899072610
12259b6b885b093
13c4a107938234
14568a81aa3a47
152868233717a6
hex142884a4ffaf

22164256653231 has 16 divisors (see below), whose sum is σ = 36844478592768. Its totient is φ = 11513899560000.

The previous prime is 22164256653157. The next prime is 22164256653233. The reversal of 22164256653231 is 13235665246122.

It is not a de Polignac number, because 22164256653231 - 221 = 22164254556079 is a prime.

It is a super-2 number, since 2×221642566532312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22164256653233) by changing a digit.

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, 47974581270 + ... + 47974581731.

It is an arithmetic number, because the mean of its divisors is an integer number (2302779912048).

Almost surely, 222164256653231 is an apocalyptic number.

22164256653231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22164256653231 is a deficient number, since it is larger than the sum of its proper divisors (14680221939537).

22164256653231 is a wasteful number, since it uses less digits than its factorization.

22164256653231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95949163022.

The product of its digits is 3110400, while the sum is 48.

The spelling of 22164256653231 in words is "twenty-two trillion, one hundred sixty-four billion, two hundred fifty-six million, six hundred fifty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 95949163001 287847489003 671644141007 1055440793011 2014932423021 3166322379033 7388085551077 22164256653231