220950240 has 192 divisors, whose sum is σ = 837527040. Its totient is φ = 47831040.

The previous prime is 220950239. The next prime is 220950253. The reversal of 220950240 is 42059022.

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 220950240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62110 + ... + 65570.

It is an arithmetic number, because the mean of its divisors is an integer number (4362120).

Almost surely, 2^220950240 is an apocalyptic number.

220950240 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 220950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418763520).

220950240 is an abundant number, since it is smaller than the sum of its proper divisors (616576800).

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

220950240 is a wasteful number, since it uses less digits than its factorization.

220950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 220950240 is about 14864.3950431896. The cubic root of 220950240 is about 604.5489797015.

The spelling of 220950240 in words is "two hundred twenty million, nine hundred fifty thousand, two hundred forty".