Base | Representation |
---|---|
bin | 101010001101… |
… | …0111110000000 |
3 | 1112122100102101 |
4 | 1110122332000 |
5 | 21131134220 |
6 | 2110200144 |
7 | 356051404 |
oct | 124327600 |
9 | 45570371 |
10 | 22130560 |
11 | 11546021 |
12 | 74b3054 |
13 | 477b10a |
14 | 2d21104 |
15 | 1e2230a |
hex | 151af80 |
22130560 has 64 divisors (see below), whose sum is σ = 53488800. Its totient is φ = 8755200.
The previous prime is 22130543. The next prime is 22130579. The reversal of 22130560 is 6503122.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96526 + ... + 96754.
Almost surely, 222130560 is an apocalyptic number.
22130560 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 22130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26744400).
22130560 is an abundant number, since it is smaller than the sum of its proper divisors (31358240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22130560 is a wasteful number, since it uses less digits than its factorization.
22130560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 399 (or 387 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 19.
The square root of 22130560 is about 4704.3129147624. The cubic root of 22130560 is about 280.7571344972.
Adding to 22130560 its reverse (6503122), we get a palindrome (28633682).
The spelling of 22130560 in words is "twenty-two million, one hundred thirty thousand, five hundred sixty".
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