220430000 has 200 divisors, whose sum is σ = 632197632. Its totient is φ = 72864000.

The previous prime is 220429969. The next prime is 220430003. The reversal of 220430000 is 34022.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (220430003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3289967 + ... + 3290033.

Almost surely, 2^220430000 is an apocalyptic number.

220430000 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 220430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316098816).

220430000 is an abundant number, since it is smaller than the sum of its proper divisors (411767632).

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

220430000 is an equidigital number, since it uses as much as digits as its factorization.

220430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 220430000 is about 14846.8851952186. The cubic root of 220430000 is about 604.0741250781.

Adding to 220430000 its reverse (34022), we get a palindrome (220464022).

The spelling of 220430000 in words is "two hundred twenty million, four hundred thirty thousand".