220049280 has 384 divisors, whose sum is σ = 870704640. Its totient is φ = 50688000.

The previous prime is 220049267. The next prime is 220049281. The reversal of 220049280 is 82940022.

220049280 is digitally balanced in base 2, 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 (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220049281) 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, 1457205 + ... + 1457355.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2^220049280 is an apocalyptic number.

220049280 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 220049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435352320).

220049280 is an abundant number, since it is smaller than the sum of its proper divisors (650655360).

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

220049280 is a wasteful number, since it uses less digits than its factorization.

220049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220049280 is about 14834.0581096341. The cubic root of 220049280 is about 603.7261451681.

The spelling of 220049280 in words is "two hundred twenty million, forty-nine thousand, two hundred eighty".