Base | Representation |
---|---|
bin | 101011001110… |
… | …1111010010000 |
3 | 1120122121010200 |
4 | 1112131322100 |
5 | 21300320041 |
6 | 2125455200 |
7 | 363444150 |
oct | 126357220 |
9 | 46577120 |
10 | 22666896 |
11 | 11881a7a |
12 | 7711500 |
13 | 4908285 |
14 | 3020760 |
15 | 1ecb1b6 |
hex | 159de90 |
22666896 has 120 divisors (see below), whose sum is σ = 73507200. Its totient is φ = 6386688.
The previous prime is 22666883. The next prime is 22666913. The reversal of 22666896 is 69866622.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (373248) is a multiple of the sum of its prime divisors (324).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113805 + ... + 114003.
It is an arithmetic number, because the mean of its divisors is an integer number (612560).
Almost surely, 222666896 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 22666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36753600).
22666896 is an abundant number, since it is smaller than the sum of its proper divisors (50840304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22666896 is a wasteful number, since it uses less digits than its factorization.
22666896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 333 (or 324 counting only the distinct ones).
The product of its digits is 373248, while the sum is 45.
The square root of 22666896 is about 4760.9763704518. The cubic root of 22666896 is about 283.0071127414.
The spelling of 22666896 in words is "twenty-two million, six hundred sixty-six thousand, eight hundred ninety-six".
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