Base | Representation |
---|---|
bin | 10101010100001000… |
… | …001010110001000000 |
3 | 2012001222112122221200 |
4 | 111110020022301000 |
5 | 333332340420442 |
6 | 14302552021200 |
7 | 1440100014243 |
oct | 252410126100 |
9 | 65058478850 |
10 | 22886263872 |
11 | 978477686a |
12 | 4528691800 |
13 | 2209649394 |
14 | 117176325a |
15 | 8de34534c |
hex | 55420ac40 |
22886263872 has 336 divisors, whose sum is σ = 71331045552. Its totient is φ = 6989414400.
The previous prime is 22886263867. The next prime is 22886263879. The reversal of 22886263872 is 27836268822.
It is a happy number.
22886263872 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 626 + 3 + 8 + 7 + 2 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 915909696 + 21970354176 = 30264^2 + 148224^2 .
It is not an unprimeable number, because it can be changed into a prime (22886263879) 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 47 ways as a sum of consecutive naturals, for example, 72196258 + ... + 72196574.
Almost surely, 222886263872 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 22886263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35665522776).
22886263872 is an abundant number, since it is smaller than the sum of its proper divisors (48444781680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22886263872 is a wasteful number, since it uses less digits than its factorization.
22886263872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 526 (or 513 counting only the distinct ones).
The product of its digits is 6193152, while the sum is 54.
The spelling of 22886263872 in words is "twenty-two billion, eight hundred eighty-six million, two hundred sixty-three thousand, eight hundred seventy-two".
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