220205772 has 108 divisors (see below), whose sum is σ = 602265664. Its totient is φ = 67763520.

The previous prime is 220205767. The next prime is 220205773. The reversal of 220205772 is 277502022.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (220205773) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590178 + ... + 590550.

Almost surely, 2^220205772 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 220205772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301132832).

220205772 is an abundant number, since it is smaller than the sum of its proper divisors (382059892).

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

220205772 is a wasteful number, since it uses less digits than its factorization.

220205772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 220205772 is about 14839.3319256630. The cubic root of 220205772 is about 603.8692281540.

Adding to 220205772 its reverse (277502022), we get a palindrome (497707794).

The spelling of 220205772 in words is "two hundred twenty million, two hundred five thousand, seven hundred seventy-two".