221812800 has 168 divisors, whose sum is σ = 794077152. Its totient is φ = 53760000.

The previous prime is 221812757. The next prime is 221812807. The reversal of 221812800 is 8218122.

221812800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221812807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50700 + ... + 54900.

Almost surely, 2^221812800 is an apocalyptic number.

221812800 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 221812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397038576).

221812800 is an abundant number, since it is smaller than the sum of its proper divisors (572264352).

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

221812800 is a wasteful number, since it uses less digits than its factorization.

221812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 221812800 is about 14893.3810801980. The cubic root of 221812800 is about 605.3346508194.

The spelling of 221812800 in words is "two hundred twenty-one million, eight hundred twelve thousand, eight hundred".