Base | Representation |
---|---|
bin | 101010100111… |
… | …1001000000000 |
3 | 1120001012110200 |
4 | 1111033020000 |
5 | 21210003232 |
6 | 2114525200 |
7 | 360631263 |
oct | 125171000 |
9 | 46035420 |
10 | 22344192 |
11 | 11681582 |
12 | 7596800 |
13 | 4824420 |
14 | 2d78cda |
15 | 1e6577c |
hex | 154f200 |
22344192 has 120 divisors (see below), whose sum is σ = 69633564. Its totient is φ = 6856704.
The previous prime is 22344191. The next prime is 22344227. The reversal of 22344192 is 29144322.
It can be written as a sum of positive squares in 2 ways, for example, as 21678336 + 665856 = 4656^2 + 816^2 .
It is a super-2 number, since 2×223441922 = 998525832265728, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (22344191) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59718 + ... + 60090.
Almost surely, 222344192 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34816782).
22344192 is an abundant number, since it is smaller than the sum of its proper divisors (47289372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22344192 is a wasteful number, since it uses less digits than its factorization.
22344192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 410 (or 391 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 22344192 is about 4726.9643535783. The cubic root of 22344192 is about 281.6576500426.
The spelling of 22344192 in words is "twenty-two million, three hundred forty-four thousand, one hundred ninety-two".
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