Base | Representation |
---|---|
bin | 101100001110… |
… | …1111010000000 |
3 | 1121122020022011 |
4 | 1120131322000 |
5 | 21414104133 |
6 | 2145022304 |
7 | 401056510 |
oct | 130357200 |
9 | 47566264 |
10 | 23191168 |
11 | 120aa960 |
12 | 7924994 |
13 | 4a5cab0 |
14 | 3119840 |
15 | 20816cd |
hex | 161de80 |
23191168 has 128 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 8294400.
The previous prime is 23191139. The next prime is 23191187. The reversal of 23191168 is 86119132.
It is a tau number, because it is divible by the number of its divisors (128).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128038 + ... + 128218.
It is an arithmetic number, because the mean of its divisors is an integer number (487305).
Almost surely, 223191168 is an apocalyptic number.
23191168 is a gapful number since it is divisible by the number (28) 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 23191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).
23191168 is an abundant number, since it is smaller than the sum of its proper divisors (39183872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23191168 is a wasteful number, since it uses less digits than its factorization.
23191168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 226 (or 214 counting only the distinct ones).
The product of its digits is 2592, while the sum is 31.
The square root of 23191168 is about 4815.7209221465. The cubic root of 23191168 is about 285.1724328433.
It can be divided in two parts, 23 and 191168, that added together give a palindrome (191191).
The spelling of 23191168 in words is "twenty-three million, one hundred ninety-one thousand, one hundred sixty-eight".
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