Base | Representation |
---|---|
bin | 101100000101… |
… | …0100111000100 |
3 | 1121111012212220 |
4 | 1120022213010 |
5 | 21404042012 |
6 | 2143212340 |
7 | 400310211 |
oct | 130124704 |
9 | 47435786 |
10 | 23112132 |
11 | 1205653a |
12 | 78a70b0 |
13 | 4a32b24 |
14 | 30d8b08 |
15 | 206808c |
hex | 160a9c4 |
23112132 has 48 divisors (see below), whose sum is σ = 57200640. Its totient is φ = 7242912.
The previous prime is 23112121. The next prime is 23112137. The reversal of 23112132 is 23121132.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (23112137) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37773 + ... + 38379.
It is an arithmetic number, because the mean of its divisors is an integer number (1191680).
Almost surely, 223112132 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 23112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28600320).
23112132 is an abundant number, since it is smaller than the sum of its proper divisors (34088508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23112132 is a wasteful number, since it uses less digits than its factorization.
23112132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 800 (or 798 counting only the distinct ones).
The product of its digits is 72, while the sum is 15.
The square root of 23112132 is about 4807.5078783087. The cubic root of 23112132 is about 284.8481061955.
Adding to 23112132 its reverse (23121132), we get a palindrome (46233264).
The spelling of 23112132 in words is "twenty-three million, one hundred twelve thousand, one hundred thirty-two".
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