220306048 has 32 divisors (see below), whose sum is σ = 443262420. Its totient is φ = 109056000.

The previous prime is 220306039. The next prime is 220306067. The reversal of 220306048 is 840603022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 163635264 + 56670784 = 12792^2 + 7528^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4408 + ... + 21448.

Almost surely, 2^220306048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221631210).

220306048 is an abundant number, since it is smaller than the sum of its proper divisors (222956372).

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

220306048 is a wasteful number, since it uses less digits than its factorization.

220306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17156 (or 17144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 220306048 is about 14842.7102646383. The cubic root of 220306048 is about 603.9608763747.

The spelling of 220306048 in words is "two hundred twenty million, three hundred six thousand, forty-eight".