220833240 has 64 divisors (see below), whose sum is σ = 664524000. Its totient is φ = 58708992.

The previous prime is 220833211. The next prime is 220833241. The reversal of 220833240 is 42338022.

220833240 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 220833240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220833241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39244 + ... + 44516.

Almost surely, 2^220833240 is an apocalyptic number.

220833240 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 220833240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332262000).

220833240 is an abundant number, since it is smaller than the sum of its proper divisors (443690760).

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

220833240 is a wasteful number, since it uses less digits than its factorization.

220833240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 220833240 is about 14860.4589431148. The cubic root of 220833240 is about 604.4422517201.

The spelling of 220833240 in words is "two hundred twenty million, eight hundred thirty-three thousand, two hundred forty".