220205952 has 160 divisors (see below), whose sum is σ = 667208520. Its totient is φ = 72078336.

The previous prime is 220205941. The next prime is 220205971. The reversal of 220205952 is 259502022.

It is a super-2 number, since 2×220205952² = 96981322592452608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694498 + ... + 694814.

Almost surely, 2^220205952 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 220205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333604260).

220205952 is an abundant number, since it is smaller than the sum of its proper divisors (447002568).

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

220205952 is an equidigital number, since it uses as much as digits as its factorization.

220205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 220205952 is about 14839.3379906248. The cubic root of 220205952 is about 603.8693926917.

Adding to 220205952 its reverse (259502022), we get a palindrome (479707974).

It can be divided in two parts, 22020 and 5952, that added together give a palindrome (27972).

The spelling of 220205952 in words is "two hundred twenty million, two hundred five thousand, nine hundred fifty-two".