Base | Representation |
---|---|
bin | 101101001111110 |
3 | 1011210000 |
4 | 11221332 |
5 | 1220131 |
6 | 255130 |
7 | 124353 |
oct | 55176 |
9 | 34700 |
10 | 23166 |
11 | 16450 |
12 | 114a6 |
13 | a710 |
14 | 862a |
15 | 6ce6 |
hex | 5a7e |
23166 has 40 divisors (see below), whose sum is σ = 60984. Its totient is φ = 6480.
The previous prime is 23159. The next prime is 23167. The reversal of 23166 is 66132.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 13.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23167) by changing a digit.
23166 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 19 ways as a sum of consecutive naturals, for example, 1776 + ... + 1788.
223166 is an apocalyptic number.
23166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 23166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492).
23166 is an abundant number, since it is smaller than the sum of its proper divisors (37818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23166 is a wasteful number, since it uses less digits than its factorization.
23166 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38 (or 29 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 23166 is about 152.2038107276. The cubic root of 23166 is about 28.5069235257.
Adding to 23166 its reverse (66132), we get a palindrome (89298).
The spelling of 23166 in words is "twenty-three thousand, one hundred sixty-six".
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