220232960 has 144 divisors (see below), whose sum is σ = 579474000. Its totient is φ = 79822848.

The previous prime is 220232951. The next prime is 220232993. The reversal of 220232960 is 69232022.

It can be written as a sum of positive squares in 8 ways, for example, as 9634816 + 210598144 = 3104^2 + 14512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630866 + ... + 631214.

It is an arithmetic number, because the mean of its divisors is an integer number (4024125).

Almost surely, 2^220232960 is an apocalyptic number.

220232960 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 220232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289737000).

220232960 is an abundant number, since it is smaller than the sum of its proper divisors (359241040).

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

220232960 is a wasteful number, since it uses less digits than its factorization.

220232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 220232960 is about 14840.2479763648. The cubic root of 220232960 is about 603.8940796384.

Adding to 220232960 its reverse (69232022), we get a palindrome (289464982).

The spelling of 220232960 in words is "two hundred twenty million, two hundred thirty-two thousand, nine hundred sixty".