220181280 has 288 divisors, whose sum is σ = 810819072. Its totient is φ = 50012160.

The previous prime is 220181261. The next prime is 220181281. The reversal of 220181280 is 82181022.

220181280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220181280.

It is not an unprimeable number, because it can be changed into a prime (220181281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987249 + ... + 987471.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2^220181280 is an apocalyptic number.

220181280 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 220181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

220181280 is an abundant number, since it is smaller than the sum of its proper divisors (590637792).

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

220181280 is a wasteful number, since it uses less digits than its factorization.

220181280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 220181280 is about 14838.5066634079. The cubic root of 220181280 is about 603.8468392261.

The spelling of 220181280 in words is "two hundred twenty million, one hundred eighty-one thousand, two hundred eighty".