Base | Representation |
---|---|
bin | 101011111010… |
… | …0100111010000 |
3 | 1121022122021212 |
4 | 1113310213100 |
5 | 21343201112 |
6 | 2141235252 |
7 | 366453425 |
oct | 127644720 |
9 | 47278255 |
10 | 23022032 |
11 | 11aa4880 |
12 | 7862b28 |
13 | 4a00b07 |
14 | 30b3d4c |
15 | 204b522 |
hex | 15f49d0 |
23022032 has 20 divisors (see below), whose sum is σ = 48660576. Its totient is φ = 10464480.
The previous prime is 23022023. The next prime is 23022061.
23022032 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 23021998 and 23022016.
It is a congruent number.
It is an unprimeable number.
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 3 ways as a sum of consecutive naturals, for example, 65228 + ... + 65579.
Almost surely, 223022032 is an apocalyptic number.
23022032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23022032 is an abundant number, since it is smaller than the sum of its proper divisors (25638544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23022032 is a wasteful number, since it uses less digits than its factorization.
23022032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130826 (or 130820 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 23022032 is about 4798.1279682810. The cubic root of 23022032 is about 284.4774749150.
It can be divided in two parts, 2302 and 2032, that added together give a palindrome (4334).
The spelling of 23022032 in words is "twenty-three million, twenty-two thousand, thirty-two".
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