Base | Representation |
---|---|
bin | 101010111111… |
… | …1111010100000 |
3 | 1120102100121011 |
4 | 1111333322200 |
5 | 21232402112 |
6 | 2123110304 |
7 | 362423020 |
oct | 125777240 |
9 | 46370534 |
10 | 22544032 |
11 | 117a8735 |
12 | 7672394 |
13 | 4894384 |
14 | 2dcba80 |
15 | 1ea4aa7 |
hex | 157fea0 |
22544032 has 48 divisors (see below), whose sum is σ = 53403840. Its totient is φ = 9151488.
The previous prime is 22544029. The next prime is 22544033. The reversal of 22544032 is 23044522.
It is a super-3 number, since 3×225440323 (a number of 23 digits) contains 333 as substring.
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 22543994 and 22544012.
It is not an unprimeable number, because it can be changed into a prime (22544033) 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, 1608 + ... + 6904.
It is an arithmetic number, because the mean of its divisors is an integer number (1112580).
Almost surely, 222544032 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 22544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26701920).
22544032 is an abundant number, since it is smaller than the sum of its proper divisors (30859808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22544032 is a wasteful number, since it uses less digits than its factorization.
22544032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5333 (or 5325 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 22.
The square root of 22544032 is about 4748.0556020333. The cubic root of 22544032 is about 282.4948473229.
Adding to 22544032 its reverse (23044522), we get a palindrome (45588554).
The spelling of 22544032 in words is "twenty-two million, five hundred forty-four thousand, thirty-two".
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