Base | Representation |
---|---|
bin | 101101011100… |
… | …0000111110000 |
3 | 1122211022210010 |
4 | 1122320013300 |
5 | 22044312312 |
6 | 2210334520 |
7 | 406330215 |
oct | 132700760 |
9 | 48738703 |
10 | 23822832 |
11 | 124a14a0 |
12 | 7b8a440 |
13 | 4c21467 |
14 | 3241b0c |
15 | 215893c |
hex | 16b81f0 |
23822832 has 40 divisors (see below), whose sum is σ = 67138560. Its totient is φ = 7218880.
The previous prime is 23822819. The next prime is 23822837.
23822832 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 23822832.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23822837) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22032 + ... + 23087.
It is an arithmetic number, because the mean of its divisors is an integer number (1678464).
Almost surely, 223822832 is an apocalyptic number.
23822832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23822832 is an abundant number, since it is smaller than the sum of its proper divisors (43315728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23822832 is a wasteful number, since it uses less digits than its factorization.
23822832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45141 (or 45135 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
The square root of 23822832 is about 4880.8638579661. The cubic root of 23822832 is about 287.7383812450.
The spelling of 23822832 in words is "twenty-three million, eight hundred twenty-two thousand, eight hundred thirty-two".
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