221045580 has 72 divisors (see below), whose sum is σ = 766295712. Its totient is φ = 50524416.

The previous prime is 221045549. The next prime is 221045581. The reversal of 221045580 is 85540122.

It is a happy number.

221045580 is a `hidden beast` number, since 2 + 2 + 104 + 558 + 0 = 666.

221045580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221045580² = 97722296875072800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221045581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86457 + ... + 88976.

It is an arithmetic number, because the mean of its divisors is an integer number (10642996).

Almost surely, 2^221045580 is an apocalyptic number.

221045580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221045580 is an abundant number, since it is smaller than the sum of its proper divisors (545250132).

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

221045580 is a wasteful number, since it uses less digits than its factorization.

221045580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175455 (or 175450 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 221045580 is about 14867.6016895799. The cubic root of 221045580 is about 604.6359214664.

The spelling of 221045580 in words is "two hundred twenty-one million, forty-five thousand, five hundred eighty".