220242848 has 144 divisors (see below), whose sum is σ = 546061824. Its totient is φ = 86929920.

The previous prime is 220242839. The next prime is 220242877. The reversal of 220242848 is 848242022.

It is a happy number.

It is a super-2 number, since 2×220242848² = 97013824190302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1117886 + ... + 1118082.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096).

Almost surely, 2^220242848 is an apocalyptic number.

220242848 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 220242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273030912).

220242848 is an abundant number, since it is smaller than the sum of its proper divisors (325818976).

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

220242848 is a wasteful number, since it uses less digits than its factorization.

220242848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 220242848 is about 14840.5811206974. The cubic root of 220242848 is about 603.9031173642.

The spelling of 220242848 in words is "two hundred twenty million, two hundred forty-two thousand, eight hundred forty-eight".