Base | Representation |
---|---|
bin | 101010100101… |
… | …0001100000000 |
3 | 1120000011201122 |
4 | 1111022030000 |
5 | 21203331333 |
6 | 2114251412 |
7 | 360515312 |
oct | 125121400 |
9 | 46004648 |
10 | 22323968 |
11 | 11668367 |
12 | 7586b68 |
13 | 4818164 |
14 | 2d717b2 |
15 | 1e5e798 |
hex | 154a300 |
22323968 has 72 divisors (see below), whose sum is σ = 48074880. Its totient is φ = 10321920.
The previous prime is 22323949. The next prime is 22323979. The reversal of 22323968 is 86932322.
It is a super-3 number, since 3×223239683 (a number of 23 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230096 + ... + 230192.
Almost surely, 222323968 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 22323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037440).
22323968 is an abundant number, since it is smaller than the sum of its proper divisors (25750912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22323968 is an equidigital number, since it uses as much as digits as its factorization.
22323968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 173 (or 159 counting only the distinct ones).
The product of its digits is 31104, while the sum is 35.
The square root of 22323968 is about 4724.8246528310. The cubic root of 22323968 is about 281.5726471366.
It can be divided in two parts, 2232 and 3968, that multiplied together give a square (8856576 = 29762).
The spelling of 22323968 in words is "twenty-two million, three hundred twenty-three thousand, nine hundred sixty-eight".
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