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23112 = 2333107
BaseRepresentation
bin101101001001000
31011201000
411221020
51214422
6255000
7124245
oct55110
934630
1023112
1116401
1211460
13a69b
1485cc
156cac
hex5a48

23112 has 32 divisors (see below), whose sum is σ = 64800. Its totient is φ = 7632.

The previous prime is 23099. The next prime is 23117. The reversal of 23112 is 21132.

Adding to 23112 its reverse (21132), we get a palindrome (44244).

It can be divided in two parts, 231 and 12, that multiplied together give a palindrome (2772).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 23094 and 23103.

It is not an unprimeable number, because it can be changed into a prime (23117) by changing a digit.

23112 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, 163 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

223112 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 23112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400).

23112 is an abundant number, since it is smaller than the sum of its proper divisors (41688).

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

23112 is a wasteful number, since it uses less digits than its factorization.

23112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 23112 is about 152.0263135118. The cubic root of 23112 is about 28.4847563911.

The spelling of 23112 in words is "twenty-three thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 5778 7704 11556 23112