Base | Representation |
---|---|
bin | 101010111011… |
… | …0100001100000 |
3 | 1120100101211120 |
4 | 1111312201200 |
5 | 21230134233 |
6 | 2122212240 |
7 | 362202621 |
oct | 125664140 |
9 | 46311746 |
10 | 22505568 |
11 | 11781848 |
12 | 7654080 |
13 | 487ca07 |
14 | 2dbba48 |
15 | 1e984b3 |
hex | 1576860 |
22505568 has 48 divisors (see below), whose sum is σ = 59976000. Its totient is φ = 7387776.
The previous prime is 22505551. The next prime is 22505579. The reversal of 22505568 is 86550522.
It is a tau number, because it is divible by the number of its divisors (48).
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, 4683 + ... + 8181.
It is an arithmetic number, because the mean of its divisors is an integer number (1249500).
Almost surely, 222505568 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 22505568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988000).
22505568 is an abundant number, since it is smaller than the sum of its proper divisors (37470432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22505568 is a wasteful number, since it uses less digits than its factorization.
22505568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3579 (or 3571 counting only the distinct ones).
The product of its (nonzero) digits is 24000, while the sum is 33.
The square root of 22505568 is about 4744.0033726801. The cubic root of 22505568 is about 282.3340942485.
The spelling of 22505568 in words is "twenty-two million, five hundred five thousand, five hundred sixty-eight".
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