221890000 has 50 divisors (see below), whose sum is σ = 537242090. Its totient is φ = 88752000.

The previous prime is 221889989. The next prime is 221890013. The reversal of 221890000 is 98122.

221890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 68823616 + 153066384 = 8296^2 + 12372^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1095 + ... + 21094.

Almost surely, 2^221890000 is an apocalyptic number.

221890000 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 221890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268621045).

221890000 is an abundant number, since it is smaller than the sum of its proper divisors (315352090).

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

221890000 is an equidigital number, since it uses as much as digits as its factorization.

221890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22217 (or 22196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 221890000 is about 14895.9726100715. The cubic root of 221890000 is about 605.4048698127.

The spelling of 221890000 in words is "two hundred twenty-one million, eight hundred ninety thousand".