23268500 has 48 divisors (see below), whose sum is σ = 51302160. Its totient is φ = 9219200.

The previous prime is 23268493. The next prime is 23268503. The reversal of 23268500 is 586232.

It can be written as a sum of positive squares in 8 ways, for example, as 8042896 + 15225604 = 2836^2 + 3902^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23268500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23268503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86366 + ... + 86634.

It is an arithmetic number, because the mean of its divisors is an integer number (1068795).

Almost surely, 2^23268500 is an apocalyptic number.

23268500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23268500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25651080).

23268500 is an abundant number, since it is smaller than the sum of its proper divisors (28033660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23268500 is a wasteful number, since it uses less digits than its factorization.

23268500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 23268500 is about 4823.7433596741. The cubic root of 23268500 is about 285.4890546379.

The spelling of 23268500 in words is "twenty-three million, two hundred sixty-eight thousand, five hundred".