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23226768 = 24321011597
BaseRepresentation
bin101100010011…
…0100110010000
31121201001010200
41120212212100
521421224033
62145455200
7401265345
oct130464620
947631120
1023226768
1112124684
127941500
134a73066
1431287cc
15208c013
hex1626990

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".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1597 1616 1818 2424 3194 3636 4791 4848 6388 7272 9582 12776 14373 14544 19164 25552 28746 38328 57492 76656 114984 161297 229968 322594 483891 645188 967782 1290376 1451673 1935564 2580752 2903346 3871128 5806692 7742256 11613384 23226768