| Base | Representation |
|---|---|
| bin | 101100001011… |
| … | …1110010110100 |
| 3 | 1121120221221220 |
| 4 | 1120113302310 |
| 5 | 21412304012 |
| 6 | 2144310340 |
| 7 | 400623513 |
| oct | 130276264 |
| 9 | 47527856 |
| 10 | 23166132 |
| 11 | 12093070 |
| 12 | 79123b0 |
| 13 | 4a51592 |
| 14 | 311067a |
| 15 | 207908c |
| hex | 1617cb4 |
23166132 has 48 divisors (see below), whose sum is σ = 59308032. Its totient is φ = 6979680.
The previous prime is 23166127. The next prime is 23166137.
It is a happy number.
23166132 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (23166127) and next prime (23166137).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23166137) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29043 + ... + 29829.
It is an arithmetic number, because the mean of its divisors is an integer number (1235584).
Almost surely, 223166132 is an apocalyptic number.
23166132 is a gapful number since it is divisible by the number (22) 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 23166132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29654016).
23166132 is an abundant number, since it is smaller than the sum of its proper divisors (36141900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23166132 is a wasteful number, since it uses less digits than its factorization.
23166132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).
The product of its digits is 1296, while the sum is 24.
The square root of 23166132 is about 4813.1208170999. The cubic root of 23166132 is about 285.0697766978.
It can be divided in two parts, 2316 and 6132, that added together give a palindrome (8448).
The spelling of 23166132 in words is "twenty-three million, one hundred sixty-six thousand, one hundred thirty-two".
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