220268240 has 80 divisors (see below), whose sum is σ = 543715200. Its totient is φ = 82807296.

The previous prime is 220268233. The next prime is 220268287. The reversal of 220268240 is 42862022.

220268240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107546 + ... + 109574.

It is an arithmetic number, because the mean of its divisors is an integer number (6796440).

Almost surely, 2^220268240 is an apocalyptic number.

220268240 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 220268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271857600).

220268240 is an abundant number, since it is smaller than the sum of its proper divisors (323446960).

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

220268240 is a wasteful number, since it uses less digits than its factorization.

220268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 220268240 is about 14841.4365881474. The cubic root of 220268240 is about 603.9263246539.

The spelling of 220268240 in words is "two hundred twenty million, two hundred sixty-eight thousand, two hundred forty".