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23031568 = 2472291013
BaseRepresentation
bin101011111011…
…0111100010000
31121100010101001
41113312330100
521344002233
62141351344
7366523300
oct127667420
947303331
1023031568
1112000a5a
127868554
134a05261
1430b7600
15204e27d
hex15f6f10

23031568 has 60 divisors (see below), whose sum is σ = 53752140. Its totient is φ = 9520896.

The previous prime is 23031563. The next prime is 23031571. The reversal of 23031568 is 86513032.

It can be written as a sum of positive squares in 2 ways, for example, as 3952144 + 19079424 = 1988^2 + 4368^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (23031563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22230 + ... + 23242.

It is an arithmetic number, because the mean of its divisors is an integer number (895869).

Almost surely, 223031568 is an apocalyptic number.

23031568 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 23031568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876070).

23031568 is an abundant number, since it is smaller than the sum of its proper divisors (30720572).

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

23031568 is a wasteful number, since it uses less digits than its factorization.

23031568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 23031568 is about 4799.1215862906. The cubic root of 23031568 is about 284.5167474798.

The spelling of 23031568 in words is "twenty-three million, thirty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1013 1421 1624 2026 2842 3248 4052 5684 7091 8104 11368 14182 16208 22736 28364 29377 49637 56728 58754 99274 113456 117508 198548 205639 235016 397096 411278 470032 794192 822556 1439473 1645112 2878946 3290224 5757892 11515784 23031568