Base | Representation |
---|---|
bin | 101010101110… |
… | …1011001100000 |
3 | 1120011011200000 |
4 | 1111131121200 |
5 | 21213341111 |
6 | 2120100000 |
7 | 361263603 |
oct | 125353140 |
9 | 46134600 |
10 | 22402656 |
11 | 117114a1 |
12 | 7604600 |
13 | 4844c13 |
14 | 2d9233a |
15 | 1e77c56 |
hex | 155d660 |
22402656 has 144 divisors (see below), whose sum is σ = 68612544. Its totient is φ = 7185024.
The previous prime is 22402631. The next prime is 22402657. The reversal of 22402656 is 65620422.
22402656 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 656 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22402657) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334335 + ... + 334401.
It is an arithmetic number, because the mean of its divisors is an integer number (476476).
Almost surely, 222402656 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 22402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34306272).
22402656 is an abundant number, since it is smaller than the sum of its proper divisors (46209888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22402656 is an equidigital number, since it uses as much as digits as its factorization.
22402656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 135 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 22402656 is about 4733.1444093752. The cubic root of 22402656 is about 281.9030902860.
The spelling of 22402656 in words is "twenty-two million, four hundred two thousand, six hundred fifty-six".
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