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23079168 = 2835753
BaseRepresentation
bin101100000001…
…0100100000000
31121102112200000
41120002210000
521402013133
62142400000
7400112130
oct130024400
947375600
1023079168
11120337a2
127890000
134a20b18
1430caac0
15205d413
hex1602900

23079168 has 216 divisors, whose sum is σ = 80353728. Its totient is φ = 6469632.

The previous prime is 23079163. The next prime is 23079211. The reversal of 23079168 is 86197032.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23079163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435430 + ... + 435482.

It is an arithmetic number, because the mean of its divisors is an integer number (372008).

Almost surely, 223079168 is an apocalyptic number.

23079168 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 23079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176864).

23079168 is an abundant number, since it is smaller than the sum of its proper divisors (57274560).

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

23079168 is an frugal number, since it uses more digits than its factorization.

23079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 23079168 is about 4804.0782674723. The cubic root of 23079168 is about 284.7126189026.

The spelling of 23079168 in words is "twenty-three million, seventy-nine thousand, one hundred sixty-eight".