221042880 has 336 divisors, whose sum is σ = 821643264. Its totient is φ = 54405120.

The previous prime is 221042867. The next prime is 221042881. The reversal of 221042880 is 88240122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221042881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3113245 + ... + 3113315.

Almost surely, 2^221042880 is an apocalyptic number.

221042880 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 221042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410821632).

221042880 is an abundant number, since it is smaller than the sum of its proper divisors (600600384).

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

221042880 is a wasteful number, since it uses less digits than its factorization.

221042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 221042880 is about 14867.5108878386. The cubic root of 221042880 is about 604.6334596459.

The spelling of 221042880 in words is "two hundred twenty-one million, forty-two thousand, eight hundred eighty".