23155200 has 240 divisors, whose sum is σ = 86259360. Its totient is φ = 6082560.

The previous prime is 23155193. The next prime is 23155213. The reversal of 23155200 is 255132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345567 + ... + 345633.

It is an arithmetic number, because the mean of its divisors is an integer number (359414).

Almost surely, 2^23155200 is an apocalyptic number.

23155200 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 23155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43129680).

23155200 is an abundant number, since it is smaller than the sum of its proper divisors (63104160).

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

23155200 is an equidigital number, since it uses as much as digits as its factorization.

23155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 23155200 is about 4811.9850373832. The cubic root of 23155200 is about 285.0249285674.

The spelling of 23155200 in words is "twenty-three million, one hundred fifty-five thousand, two hundred".