221916800 has 96 divisors (see below), whose sum is σ = 626581920. Its totient is φ = 76078080.

The previous prime is 221916769. The next prime is 221916803. The reversal of 221916800 is 8619122.

It is a super-2 number, since 2×221916800² = 98494132244480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221916803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17447 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (6526895).

Almost surely, 2^221916800 is an apocalyptic number.

221916800 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 221916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313290960).

221916800 is an abundant number, since it is smaller than the sum of its proper divisors (404665120).

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

221916800 is an equidigital number, since it uses as much as digits as its factorization.

221916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9921 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 221916800 is about 14896.8721549190. The cubic root of 221916800 is about 605.4292425460.

The spelling of 221916800 in words is "two hundred twenty-one million, nine hundred sixteen thousand, eight hundred".