221214080 has 32 divisors (see below), whose sum is σ = 528841440. Its totient is φ = 88485376.

The previous prime is 221214073. The next prime is 221214089. The reversal of 221214080 is 80412122.

It is a happy number.

221214080 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 (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221214089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172184 + ... + 173463.

It is an arithmetic number, because the mean of its divisors is an integer number (16526295).

Almost surely, 2^221214080 is an apocalyptic number.

221214080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221214080 is an abundant number, since it is smaller than the sum of its proper divisors (307627360).

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

221214080 is an equidigital number, since it uses as much as digits as its factorization.

221214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345666 (or 345654 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 221214080 is about 14873.2672940413. The cubic root of 221214080 is about 604.7895176556.

The spelling of 221214080 in words is "two hundred twenty-one million, two hundred fourteen thousand, eighty".