Base | Representation |
---|---|
bin | 101010100100… |
… | …1111110000000 |
3 | 1120000010111110 |
4 | 1111021332000 |
5 | 21203314242 |
6 | 2114243320 |
7 | 360512562 |
oct | 125117600 |
9 | 46003443 |
10 | 22323072 |
11 | 11667722 |
12 | 7586540 |
13 | 4817925 |
14 | 2d71332 |
15 | 1e5e39c |
hex | 1549f80 |
22323072 has 64 divisors (see below), whose sum is σ = 60330960. Its totient is φ = 7311360.
The previous prime is 22323071. The next prime is 22323097. The reversal of 22323072 is 27032322.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×223230723 (a number of 23 digits) contains 333 as substring.
It is a zygodrome in base 11.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22323071) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22948 + ... + 23900.
Almost surely, 222323072 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 22323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30165480).
22323072 is an abundant number, since it is smaller than the sum of its proper divisors (38007888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22323072 is an equidigital number, since it uses as much as digits as its factorization.
22323072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 21.
The square root of 22323072 is about 4724.7298335460. The cubic root of 22323072 is about 281.5688799977.
Adding to 22323072 its reverse (27032322), we get a palindrome (49355394).
The spelling of 22323072 in words is "twenty-two million, three hundred twenty-three thousand, seventy-two".
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