Base | Representation |
---|---|
bin | 101010110110… |
… | …1010110101000 |
3 | 1120021111022110 |
4 | 1111231112220 |
5 | 21222434013 |
6 | 2121322320 |
7 | 361655253 |
oct | 125552650 |
9 | 46244273 |
10 | 22468008 |
11 | 11756602 |
12 | 76363a0 |
13 | 48688a4 |
14 | 2dac09a |
15 | 1e8c2c3 |
hex | 156d5a8 |
22468008 has 64 divisors (see below), whose sum is σ = 58032000. Its totient is φ = 7246080.
The previous prime is 22467989. The next prime is 22468027. The reversal of 22468008 is 80086422.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (22467989) and next prime (22468027).
It is a super-2 number, since 2×224680082 = 1009622766976128, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
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 15 ways as a sum of consecutive naturals, for example, 150718 + ... + 150866.
It is an arithmetic number, because the mean of its divisors is an integer number (906750).
Almost surely, 222468008 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 22468008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016000).
22468008 is an abundant number, since it is smaller than the sum of its proper divisors (35563992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22468008 is a wasteful number, since it uses less digits than its factorization.
22468008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 322 (or 318 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 30.
The square root of 22468008 is about 4740.0430377793. The cubic root of 22468008 is about 282.1769424214.
The spelling of 22468008 in words is "twenty-two million, four hundred sixty-eight thousand, eight".
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