221114880 has 320 divisors, whose sum is σ = 899585280. Its totient is φ = 50429952.

The previous prime is 221114867. The next prime is 221114891. The reversal of 221114880 is 88411122.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 483612 + ... + 484068.

It is an arithmetic number, because the mean of its divisors is an integer number (2811204).

Almost surely, 2^221114880 is an apocalyptic number.

221114880 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 221114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449792640).

221114880 is an abundant number, since it is smaller than the sum of its proper divisors (678470400).

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

221114880 is an equidigital number, since it uses as much as digits as its factorization.

221114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 221114880 is about 14869.9320778543. The cubic root of 221114880 is about 604.6991013338.

The spelling of 221114880 in words is "two hundred twenty-one million, one hundred fourteen thousand, eight hundred eighty".