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23165828 = 2272181653
BaseRepresentation
bin101100001011…
…1101110000100
31121120221112122
41120113232010
521412301303
62144305112
7400622600
oct130275604
947527478
1023165828
1112092914
127912198
134a513ba
143110500
152078e38
hex1617b84

23165828 has 36 divisors (see below), whose sum is σ = 47492172. Its totient is φ = 9858240.

The previous prime is 23165803. The next prime is 23165839. The reversal of 23165828 is 82856132.

It can be written as a sum of positive squares in 2 ways, for example, as 2079364 + 21086464 = 1442^2 + 4592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35150 + ... + 35802.

It is an arithmetic number, because the mean of its divisors is an integer number (1319227).

Almost surely, 223165828 is an apocalyptic number.

23165828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23165828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23746086).

23165828 is an abundant number, since it is smaller than the sum of its proper divisors (24326344).

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

23165828 is a wasteful number, since it uses less digits than its factorization.

23165828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 843 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 23165828 is about 4813.0892366546. The cubic root of 23165828 is about 285.0685297397.

The spelling of 23165828 in words is "twenty-three million, one hundred sixty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 653 724 1267 1306 2534 2612 4571 5068 8869 9142 17738 18284 31997 35476 63994 118193 127988 236386 472772 827351 1654702 3309404 5791457 11582914 23165828