220354240 has 84 divisors (see below), whose sum is σ = 540355536. Its totient is φ = 85588992.

The previous prime is 220354219. The next prime is 220354243. The reversal of 220354240 is 42453022.

It is not an unprimeable number, because it can be changed into a prime (220354243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437829 + ... + 438331.

It is an arithmetic number, because the mean of its divisors is an integer number (6432804).

Almost surely, 2^220354240 is an apocalyptic number.

220354240 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 220354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270177768).

220354240 is an abundant number, since it is smaller than the sum of its proper divisors (320001296).

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

220354240 is an equidigital number, since it uses as much as digits as its factorization.

220354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 220354240 is about 14844.3335990539. Note that the first 3 decimals coincide. The cubic root of 220354240 is about 604.0049120253.

The spelling of 220354240 in words is "two hundred twenty million, three hundred fifty-four thousand, two hundred forty".