23455200 has 144 divisors (see below), whose sum is σ = 79213680. Its totient is φ = 6021120.

The previous prime is 23455183. The next prime is 23455207. The reversal of 23455200 is 255432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23455207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69432 + ... + 69768.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 2^23455200 is an apocalyptic number.

23455200 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 23455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39606840).

23455200 is an abundant number, since it is smaller than the sum of its proper divisors (55758480).

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

23455200 is a wasteful number, since it uses less digits than its factorization.

23455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 23455200 is about 4843.0568858935. The cubic root of 23455200 is about 286.2505831939.

The spelling of 23455200 in words is "twenty-three million, four hundred fifty-five thousand, two hundred".