Base | Representation |
---|---|
bin | 101011010110… |
… | …0100000000000 |
3 | 1120202122010000 |
4 | 1112230200000 |
5 | 21304223111 |
6 | 2131040000 |
7 | 364113321 |
oct | 126544000 |
9 | 46678100 |
10 | 22726656 |
11 | 11912967 |
12 | 7740000 |
13 | 4929534 |
14 | 3038448 |
15 | 1eddc56 |
hex | 15ac800 |
22726656 has 120 divisors (see below), whose sum is σ = 68378310. Its totient is φ = 7520256.
The previous prime is 22726651. The next prime is 22726657. The reversal of 22726656 is 65662722.
It can be written as a sum of positive squares in only one way, i.e., 18662400 + 4064256 = 4320^2 + 2016^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 22726656.
It is not an unprimeable number, because it can be changed into a prime (22726651) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165820 + ... + 165956.
Almost surely, 222726656 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 22726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34189155).
22726656 is an abundant number, since it is smaller than the sum of its proper divisors (45651654).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22726656 is an equidigital number, since it uses as much as digits as its factorization.
22726656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 142 counting only the distinct ones).
The product of its digits is 60480, while the sum is 36.
The square root of 22726656 is about 4767.2482628871. The cubic root of 22726656 is about 283.2556052836.
The spelling of 22726656 in words is "twenty-two million, seven hundred twenty-six thousand, six hundred fifty-six".
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