220782240 has 384 divisors, whose sum is σ = 907200000. Its totient is φ = 50125824.

The previous prime is 220782229. The next prime is 220782257. The reversal of 220782240 is 42287022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481686 + ... + 1481834.

It is an arithmetic number, because the mean of its divisors is an integer number (2362500).

Almost surely, 2^220782240 is an apocalyptic number.

220782240 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 220782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600000).

220782240 is an abundant number, since it is smaller than the sum of its proper divisors (686417760).

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

220782240 is a wasteful number, since it uses less digits than its factorization.

220782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 220782240 is about 14858.7428808766. The cubic root of 220782240 is about 604.3957174692.

The spelling of 220782240 in words is "two hundred twenty million, seven hundred eighty-two thousand, two hundred forty".