220205232 has 120 divisors (see below), whose sum is σ = 672526400. Its totient is φ = 66852864.

The previous prime is 220205201. The next prime is 220205239. The reversal of 220205232 is 232502022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220205239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147144 + ... + 148632.

Almost surely, 2^220205232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220205232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336263200).

220205232 is an abundant number, since it is smaller than the sum of its proper divisors (452321168).

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

220205232 is a wasteful number, since it uses less digits than its factorization.

220205232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220205232 is about 14839.3137307626. The cubic root of 220205232 is about 603.8687345405.

Adding to 220205232 its reverse (232502022), we get a palindrome (452707254).

The spelling of 220205232 in words is "two hundred twenty million, two hundred five thousand, two hundred thirty-two".