221941200 has 240 divisors, whose sum is σ = 786574656. Its totient is φ = 53145600.

The previous prime is 221941193. The next prime is 221941201. The reversal of 221941200 is 2149122.

221941200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221941201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639427 + ... + 639773.

Almost surely, 2^221941200 is an apocalyptic number.

221941200 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 221941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393287328).

221941200 is an abundant number, since it is smaller than the sum of its proper divisors (564633456).

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

221941200 is a wasteful number, since it uses less digits than its factorization.

221941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 221941200 is about 14897.6910962739. The cubic root of 221941200 is about 605.4514309399.

The spelling of 221941200 in words is "two hundred twenty-one million, nine hundred forty-one thousand, two hundred".