23245200 has 180 divisors, whose sum is σ = 88150608. Its totient is φ = 5625600.

The previous prime is 23245193. The next prime is 23245219. The reversal of 23245200 is 254232.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39307 + ... + 39893.

Almost surely, 2^23245200 is an apocalyptic number.

23245200 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 23245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44075304).

23245200 is an abundant number, since it is smaller than the sum of its proper divisors (64905408).

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

23245200 is a wasteful number, since it uses less digits than its factorization.

23245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23245200 is about 4821.3276179907. The cubic root of 23245200 is about 285.3937309670.

Adding to 23245200 its reverse (254232), we get a palindrome (23499432).

The spelling of 23245200 in words is "twenty-three million, two hundred forty-five thousand, two hundred".