Base | Representation |
---|---|
bin | 101010010110… |
… | …1100001000000 |
3 | 1112210012122000 |
4 | 1110231201000 |
5 | 21141102103 |
6 | 2111544000 |
7 | 356516031 |
oct | 124554100 |
9 | 45705560 |
10 | 22206528 |
11 | 11598103 |
12 | 752b000 |
13 | 47a6876 |
14 | 2d40a88 |
15 | 1e39aa3 |
hex | 152d840 |
22206528 has 112 divisors (see below), whose sum is σ = 66568320. Its totient is φ = 7257600.
The previous prime is 22206511. The next prime is 22206529. The reversal of 22206528 is 82560222.
22206528 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 652 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (22206529) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122598 + ... + 122778.
It is an arithmetic number, because the mean of its divisors is an integer number (594360).
Almost surely, 222206528 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 22206528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160).
22206528 is an abundant number, since it is smaller than the sum of its proper divisors (44361792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22206528 is a wasteful number, since it uses less digits than its factorization.
22206528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273 (or 257 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 22206528 is about 4712.3802902567. The cubic root of 22206528 is about 281.0780210819.
The spelling of 22206528 in words is "twenty-two million, two hundred six thousand, five hundred twenty-eight".
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