220432200 has 96 divisors (see below), whose sum is σ = 723569760. Its totient is φ = 55321600.

The previous prime is 220432189. The next prime is 220432231. The reversal of 220432200 is 2234022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220432200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606 + ... + 21005.

It is an arithmetic number, because the mean of its divisors is an integer number (7537185).

Almost surely, 2^220432200 is an apocalyptic number.

220432200 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 220432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361784880).

220432200 is an abundant number, since it is smaller than the sum of its proper divisors (503137560).

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

220432200 is a wasteful number, since it uses less digits than its factorization.

220432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21647 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220432200 is about 14846.9592846482. The cubic root of 220432200 is about 604.0761347239.

Adding to 220432200 its reverse (2234022), we get a palindrome (222666222).

The spelling of 220432200 in words is "two hundred twenty million, four hundred thirty-two thousand, two hundred".