23085200 has 30 divisors (see below), whose sum is σ = 55463154. Its totient is φ = 9233920.

The previous prime is 23085199. The next prime is 23085203. The reversal of 23085200 is 258032.

It can be written as a sum of positive squares in 3 ways, for example, as 541696 + 22543504 = 736^2 + 4748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23085203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28457 + ... + 29256.

Almost surely, 2^23085200 is an apocalyptic number.

23085200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23085200 is an abundant number, since it is smaller than the sum of its proper divisors (32377954).

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

23085200 is a wasteful number, since it uses less digits than its factorization.

23085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57731 (or 57720 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 23085200 is about 4804.7060263870. The cubic root of 23085200 is about 284.7374210231.

The spelling of 23085200 in words is "twenty-three million, eighty-five thousand, two hundred".