221356800 has 540 divisors, whose sum is σ = 950713456. Its totient is φ = 49766400.

The previous prime is 221356799. The next prime is 221356801. The reversal of 221356800 is 8653122.

It is an interprime number because it is at equal distance from previous prime (221356799) and next prime (221356801).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221356801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628770 + ... + 3628830.

Almost surely, 2^221356800 is an apocalyptic number.

221356800 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 221356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475356728).

221356800 is an abundant number, since it is smaller than the sum of its proper divisors (729356656).

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

221356800 is an equidigital number, since it uses as much as digits as its factorization.

221356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 221356800 is about 14878.0643902357. The cubic root of 221356800 is about 604.9195530855.

The spelling of 221356800 in words is "two hundred twenty-one million, three hundred fifty-six thousand, eight hundred".