220809240 has 96 divisors (see below), whose sum is σ = 744241680. Its totient is φ = 58879872.

The previous prime is 220809233. The next prime is 220809271. The reversal of 220809240 is 42908022.

It is a super-3 number, since 3×220809240³ (a number of 26 digits) contains 333 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1639 + ... + 21078.

Almost surely, 2^220809240 is an apocalyptic number.

220809240 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 220809240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372120840).

220809240 is an abundant number, since it is smaller than the sum of its proper divisors (523432440).

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

220809240 is a wasteful number, since it uses less digits than its factorization.

220809240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22743 (or 22727 counting only the distinct ones).

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

The square root of 220809240 is about 14859.6514091011. The cubic root of 220809240 is about 604.4203541417.

The spelling of 220809240 in words is "two hundred twenty million, eight hundred nine thousand, two hundred forty".