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23016 = 2337137
BaseRepresentation
bin101100111101000
31011120110
411213220
51214031
6254320
7124050
oct54750
934513
1023016
1116324
12113a0
13a626
148560
156c46
hex59e8

23016 has 32 divisors (see below), whose sum is σ = 66240. Its totient is φ = 6528.

The previous prime is 23011. The next prime is 23017. The reversal of 23016 is 61032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 22992 and 23010.

It is not an unprimeable number, because it can be changed into a prime (23011) by changing a digit.

23016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (2070).

223016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33120).

23016 is an abundant number, since it is smaller than the sum of its proper divisors (43224).

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

23016 is a wasteful number, since it uses less digits than its factorization.

23016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23016 is about 151.7102501481. The cubic root of 23016 is about 28.4452627441.

Adding to 23016 its reverse (61032), we get a palindrome (84048).

The spelling of 23016 in words is "twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 7672 11508 23016