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23164820 = 2257165463
BaseRepresentation
bin101100001011…
…1011110010100
31121120220011022
41120113132110
521412233240
62144300312
7400616630
oct130273624
947526138
1023164820
1112092088
127911698
134a50ac3
14310ddc0
1520789b5
hex1617794

23164820 has 24 divisors (see below), whose sum is σ = 55595904. Its totient is φ = 7942176.

The previous prime is 23164793. The next prime is 23164847. The reversal of 23164820 is 2846132.

It is an interprime number because it is at equal distance from previous prime (23164793) and next prime (23164847).

It is a self number, because there is not a number n which added to its sum of digits gives 23164820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82592 + ... + 82871.

It is an arithmetic number, because the mean of its divisors is an integer number (2316496).

Almost surely, 223164820 is an apocalyptic number.

23164820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23164820 is an abundant number, since it is smaller than the sum of its proper divisors (32431084).

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

23164820 is a wasteful number, since it uses less digits than its factorization.

23164820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165479 (or 165477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 23164820 is about 4812.9845210638. The cubic root of 23164820 is about 285.0643950109.

The spelling of 23164820 in words is "twenty-three million, one hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 165463 330926 661852 827315 1158241 1654630 2316482 3309260 4632964 5791205 11582410 23164820