221383680 has 352 divisors, whose sum is σ = 848931840. Its totient is φ = 48168960.

The previous prime is 221383637. The next prime is 221383697. The reversal of 221383680 is 86383122.

221383680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3118045 + ... + 3118115.

Almost surely, 2^221383680 is an apocalyptic number.

221383680 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 221383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

221383680 is an abundant number, since it is smaller than the sum of its proper divisors (627548160).

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

221383680 is a wasteful number, since it uses less digits than its factorization.

221383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 221383680 is about 14878.9677061280. The cubic root of 221383680 is about 604.9440378080.

The spelling of 221383680 in words is "two hundred twenty-one million, three hundred eighty-three thousand, six hundred eighty".