220838268 has 72 divisors (see below), whose sum is σ = 597217152. Its totient is φ = 62215776.

The previous prime is 220838257. The next prime is 220838287. The reversal of 220838268 is 862838022.

It is a super-2 number, since 2×220838268² = 97539081226479648, 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 23 ways as a sum of consecutive naturals, for example, 1354755 + ... + 1354917.

Almost surely, 2^220838268 is an apocalyptic number.

220838268 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 220838268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298608576).

220838268 is an abundant number, since it is smaller than the sum of its proper divisors (376378884).

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

220838268 is a wasteful number, since it uses less digits than its factorization.

220838268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 220838268 is about 14860.6281159310. The cubic root of 220838268 is about 604.4468390618.

The spelling of 220838268 in words is "two hundred twenty million, eight hundred thirty-eight thousand, two hundred sixty-eight".