220314648 has 64 divisors (see below), whose sum is σ = 567796320. Its totient is φ = 71193600.

The previous prime is 220314641. The next prime is 220314659. The reversal of 220314648 is 846413022.

It is a Cunningham number, because it is equal to 14843²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220314641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177486 + ... + 178722.

Almost surely, 2^220314648 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 220314648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283898160).

220314648 is an abundant number, since it is smaller than the sum of its proper divisors (347481672).

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

220314648 is a wasteful number, since it uses less digits than its factorization.

220314648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 220314648 is about 14842.9999663141. Note that the first 4 decimals coincide. The cubic root of 220314648 is about 603.9687351330.

The spelling of 220314648 in words is "two hundred twenty million, three hundred fourteen thousand, six hundred forty-eight".