Base | Representation |
---|---|
bin | 101010111101… |
… | …0010010000000 |
3 | 1120101011221122 |
4 | 1111322102000 |
5 | 21231132320 |
6 | 2122411412 |
7 | 362265530 |
oct | 125722200 |
9 | 46334848 |
10 | 22520960 |
11 | 11792370 |
12 | 7660b68 |
13 | 4886a17 |
14 | 2dc34c0 |
15 | 1e9cd25 |
hex | 157a480 |
22520960 has 128 divisors (see below), whose sum is σ = 67271040. Its totient is φ = 7004160.
The previous prime is 22520959. The next prime is 22520963. The reversal of 22520960 is 6902522.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22520963) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49052 + ... + 49508.
It is an arithmetic number, because the mean of its divisors is an integer number (525555).
Almost surely, 222520960 is an apocalyptic number.
22520960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33635520).
22520960 is an abundant number, since it is smaller than the sum of its proper divisors (44750080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22520960 is a wasteful number, since it uses less digits than its factorization.
22520960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 494 (or 482 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 26.
The square root of 22520960 is about 4745.6253539444. The cubic root of 22520960 is about 282.3984441916.
The spelling of 22520960 in words is "twenty-two million, five hundred twenty thousand, nine hundred sixty".
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