Base | Representation |
---|---|
bin | 101100010011… |
… | …0100110010000 |
3 | 1121201001010200 |
4 | 1120212212100 |
5 | 21421224033 |
6 | 2145455200 |
7 | 401265345 |
oct | 130464620 |
9 | 47631120 |
10 | 23226768 |
11 | 12124684 |
12 | 7941500 |
13 | 4a73066 |
14 | 31287cc |
15 | 208c013 |
hex | 1626990 |
23226768 has 60 divisors (see below), whose sum is σ = 65687388. Its totient is φ = 7660800.
The previous prime is 23226739. The next prime is 23226769. The reversal of 23226768 is 86762232.
It can be written as a sum of positive squares in 2 ways, for example, as 14653584 + 8573184 = 3828^2 + 2928^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23226769) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13746 + ... + 15342.
Almost surely, 223226768 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 23226768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32843694).
23226768 is an abundant number, since it is smaller than the sum of its proper divisors (42460620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23226768 is a wasteful number, since it uses less digits than its factorization.
23226768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1712 (or 1703 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 23226768 is about 4819.4157322231. The cubic root of 23226768 is about 285.3182778520.
It can be divided in two parts, 232 and 26768, that added together give a cube (27000 = 303).
The spelling of 23226768 in words is "twenty-three million, two hundred twenty-six thousand, seven hundred sixty-eight".
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