Base | Representation |
---|---|
bin | 10100110100100001… |
… | …010001100000001000 |
3 | 2010201000201011012200 |
4 | 110310201101200020 |
5 | 331241112133102 |
6 | 14134210040200 |
7 | 1421000434131 |
oct | 246441214010 |
9 | 63630634180 |
10 | 22355974152 |
11 | 95324012a6 |
12 | 43bab79060 |
13 | 215381a495 |
14 | 1121164c88 |
15 | 8ac9e751c |
hex | 534851808 |
22355974152 has 108 divisors (see below), whose sum is σ = 61699205295. Its totient is φ = 7312855968.
The previous prime is 22355974103. The next prime is 22355974213. The reversal of 22355974152 is 25147955322.
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.
22355974152 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 597 + 4 + 1 + 52 = 666.
It can be written as a sum of positive squares in only one way, i.e., 11177987076 + 11177987076 = 105726^2 + 105726^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=105726.
Its product of digits (756000) is a multiple of the sum of its prime factors (672).
It is a junction number, because it is equal to n+sod(n) for n = 22355974098 and 22355974107.
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 26 ways as a sum of consecutive naturals, for example, 85003573 + ... + 85003835.
Almost surely, 222355974152 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 22355974152
22355974152 is an abundant number, since it is smaller than the sum of its proper divisors (39343231143).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22355974152 is an equidigital number, since it uses as much as digits as its factorization.
22355974152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 672 (or 335 counting only the distinct ones).
The product of its digits is 756000, while the sum is 45.
The spelling of 22355974152 in words is "twenty-two billion, three hundred fifty-five million, nine hundred seventy-four thousand, one hundred fifty-two".
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