221110000 has 50 divisors (see below), whose sum is σ = 535353632. Its totient is φ = 88440000.

The previous prime is 221109947. The next prime is 221110003. The reversal of 221110000 is 11122.

221110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1056 + ... + 21055.

Almost surely, 2^221110000 is an apocalyptic number.

221110000 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 221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267676816).

221110000 is an abundant number, since it is smaller than the sum of its proper divisors (314243632).

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

221110000 is an equidigital number, since it uses as much as digits as its factorization.

221110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22139 (or 22118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 221110000 is about 14869.7679874301. The cubic root of 221110000 is about 604.6946527363.

Adding to 221110000 its reverse (11122), we get a palindrome (221121122).

The spelling of 221110000 in words is "two hundred twenty-one million, one hundred ten thousand".