221572800 has 336 divisors, whose sum is σ = 846612480. Its totient is φ = 56263680.

The previous prime is 221572763. The next prime is 221572829. The reversal of 221572800 is 8275122.

221572800 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993489 + ... + 993711.

It is an arithmetic number, because the mean of its divisors is an integer number (2519680).

Almost surely, 2^221572800 is an apocalyptic number.

221572800 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 221572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423306240).

221572800 is an abundant number, since it is smaller than the sum of its proper divisors (625039680).

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

221572800 is a wasteful number, since it uses less digits than its factorization.

221572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 221572800 is about 14885.3216290411. The cubic root of 221572800 is about 605.1162493188.

The spelling of 221572800 in words is "two hundred twenty-one million, five hundred seventy-two thousand, eight hundred".