220242960 has 240 divisors, whose sum is σ = 856552320. Its totient is φ = 49674240.

The previous prime is 220242949. The next prime is 220242961. The reversal of 220242960 is 69242022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220242960² = 97013922859123200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220242961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448315 + ... + 448805.

It is an arithmetic number, because the mean of its divisors is an integer number (3568968).

Almost surely, 2^220242960 is an apocalyptic number.

220242960 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 220242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428276160).

220242960 is an abundant number, since it is smaller than the sum of its proper divisors (636309360).

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

220242960 is a wasteful number, since it uses less digits than its factorization.

220242960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220242960 is about 14840.5848941341. The cubic root of 220242960 is about 603.9032197317.

Adding to 220242960 its reverse (69242022), we get a palindrome (289484982).

The spelling of 220242960 in words is "two hundred twenty million, two hundred forty-two thousand, nine hundred sixty".