Base | Representation |
---|---|
bin | 10101010011011001… |
… | …100010000000000000 |
3 | 2012001010112112120200 |
4 | 111103121202000000 |
5 | 333321223211042 |
6 | 14301434005200 |
7 | 1436561055141 |
oct | 252331420000 |
9 | 65033475520 |
10 | 22874038272 |
11 | 9778886568 |
12 | 4524576800 |
13 | 2206c587b7 |
14 | 116dc9dac8 |
15 | 8dd22cc4c |
hex | 553662000 |
22874038272 has 126 divisors (see below), whose sum is σ = 66195364053. Its totient is φ = 7610990592.
The previous prime is 22874038267. The next prime is 22874038279. The reversal of 22874038272 is 27283047822.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
22874038272 is a `hidden beast` number, since 22 + 87 + 403 + 82 + 72 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 17908862976 + 4965175296 = 133824^2 + 70464^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=106944.
It is not an unprimeable number, because it can be changed into a prime (22874038279) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 41066218 + ... + 41066774.
Almost surely, 222874038272 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 22874038272
22874038272 is an abundant number, since it is smaller than the sum of its proper divisors (43321325781).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22874038272 is an frugal number, since it uses more digits than its factorization.
22874038272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1146 (or 562 counting only the distinct ones).
The product of its (nonzero) digits is 602112, while the sum is 45.
The spelling of 22874038272 in words is "twenty-two billion, eight hundred seventy-four million, thirty-eight thousand, two hundred seventy-two".
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