221130000 has 600 divisors, whose sum is σ = 987034048. Its totient is φ = 46656000.

The previous prime is 221129989. The next prime is 221130001. The reversal of 221130000 is 31122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 975 × 945 × 240.

It is not an unprimeable number, because it can be changed into a prime (221130001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17009994 + ... + 17010006.

Almost surely, 2^221130000 is an apocalyptic number.

221130000 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 221130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493517024).

221130000 is an abundant number, since it is smaller than the sum of its proper divisors (765904048).

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

221130000 is an equidigital number, since it uses as much as digits as its factorization.

221130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 221130000 is about 14870.4404776725. The cubic root of 221130000 is about 604.7128842778.

Adding to 221130000 its reverse (31122), we get a palindrome (221161122).

The spelling of 221130000 in words is "two hundred twenty-one million, one hundred thirty thousand".