221360000 has 80 divisors (see below), whose sum is σ = 551261040. Its totient is φ = 88512000.

The previous prime is 221359997. The next prime is 221360039. The reversal of 221360000 is 63122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78617 + ... + 81383.

It is an arithmetic number, because the mean of its divisors is an integer number (6890763).

Almost surely, 2^221360000 is an apocalyptic number.

221360000 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 221360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275630520).

221360000 is an abundant number, since it is smaller than the sum of its proper divisors (329901040).

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

221360000 is an frugal number, since it uses more digits than its factorization.

221360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 221360000 is about 14878.1719307178. The cubic root of 221360000 is about 604.9224680374.

The spelling of 221360000 in words is "two hundred twenty-one million, three hundred sixty thousand".