221080000 has 70 divisors (see below), whose sum is σ = 548305736. Its totient is φ = 88416000.

The previous prime is 221079977. The next prime is 221080001. The reversal of 221080000 is 80122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37237 + ... + 42763.

Almost surely, 2^221080000 is an apocalyptic number.

221080000 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 221080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274152868).

221080000 is an abundant number, since it is smaller than the sum of its proper divisors (327225736).

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

221080000 is an frugal number, since it uses more digits than its factorization.

221080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 221080000 is about 14868.7591950371. The cubic root of 221080000 is about 604.6673033625.

The spelling of 221080000 in words is "two hundred twenty-one million, eighty thousand".