220145660 has 48 divisors (see below), whose sum is σ = 533615040. Its totient is φ = 74726400.

The previous prime is 220145659. The next prime is 220145677. The reversal of 220145660 is 66541022.

It is a super-2 number, since 2×220145660² = 96928223233671200, which contains 22 as substring.

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, 6356 + ... + 21924.

It is an arithmetic number, because the mean of its divisors is an integer number (11116980).

Almost surely, 2^220145660 is an apocalyptic number.

220145660 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 220145660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266807520).

220145660 is an abundant number, since it is smaller than the sum of its proper divisors (313469380).

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

220145660 is a wasteful number, since it uses less digits than its factorization.

220145660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15686 (or 15684 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 220145660 is about 14837.3063593093. The cubic root of 220145660 is about 603.8142748706.

Adding to 220145660 its reverse (66541022), we get a palindrome (286686682).

The spelling of 220145660 in words is "two hundred twenty million, one hundred forty-five thousand, six hundred sixty".