23212800 has 324 divisors, whose sum is σ = 92257984. Its totient is φ = 5529600.

The previous prime is 23212771. The next prime is 23212823. The reversal of 23212800 is 821232.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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, 748785 + ... + 748815.

Almost surely, 2^23212800 is an apocalyptic number.

23212800 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 23212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128992).

23212800 is an abundant number, since it is smaller than the sum of its proper divisors (69045184).

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

23212800 is a wasteful number, since it uses less digits than its factorization.

23212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23212800 is about 4817.9663759723. The cubic root of 23212800 is about 285.2610719468.

The spelling of 23212800 in words is "twenty-three million, two hundred twelve thousand, eight hundred".