220334968 has 40 divisors (see below), whose sum is σ = 481996080. Its totient is φ = 94421040.

The previous prime is 220334929. The next prime is 220334987. The reversal of 220334968 is 869433022.

It is a super-2 number, since 2×220334968² = 97094996247122048, 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 9 ways as a sum of consecutive naturals, for example, 13473 + ... + 24943.

It is an arithmetic number, because the mean of its divisors is an integer number (12049902).

Almost surely, 2^220334968 is an apocalyptic number.

220334968 is a gapful number since it is divisible by the number (28) 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 220334968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240998040).

220334968 is an abundant number, since it is smaller than the sum of its proper divisors (261661112).

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

220334968 is an equidigital number, since it uses as much as digits as its factorization.

220334968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11505 (or 11480 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 220334968 is about 14843.6844482763. The cubic root of 220334968 is about 603.9873029215.

The spelling of 220334968 in words is "two hundred twenty million, three hundred thirty-four thousand, nine hundred sixty-eight".