Base | Representation |
---|---|
bin | 101010111110… |
… | …1000010000000 |
3 | 1120101202101211 |
4 | 1111331002000 |
5 | 21232012344 |
6 | 2122535504 |
7 | 362343421 |
oct | 125750200 |
9 | 46352354 |
10 | 22532224 |
11 | 1179a880 |
12 | 7667594 |
13 | 488bba0 |
14 | 2dc7648 |
15 | 1ea1334 |
hex | 157d080 |
22532224 has 64 divisors (see below), whose sum is σ = 52778880. Its totient is φ = 9446400.
The previous prime is 22532207. The next prime is 22532239. The reversal of 22532224 is 42223522.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×225322242 = 1015402236772352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 22532195 and 22532204.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17689 + ... + 18919.
It is an arithmetic number, because the mean of its divisors is an integer number (824670).
Almost surely, 222532224 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 22532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26389440).
22532224 is an abundant number, since it is smaller than the sum of its proper divisors (30246656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22532224 is a wasteful number, since it uses less digits than its factorization.
22532224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).
The product of its digits is 1920, while the sum is 22.
The square root of 22532224 is about 4746.8119827943. The cubic root of 22532224 is about 282.4455174646.
Adding to 22532224 its reverse (42223522), we get a palindrome (64755746).
The spelling of 22532224 in words is "twenty-two million, five hundred thirty-two thousand, two hundred twenty-four".
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