220934720 has 84 divisors (see below), whose sum is σ = 559102260. Its totient is φ = 83140608.

The previous prime is 220934713. The next prime is 220934723. The reversal of 220934720 is 27439022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 219513856 = 1192^2 + 14816^2 .

It is not an unprimeable number, because it can be changed into a prime (220934723) 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, 91286 + ... + 93674.

Almost surely, 2^220934720 is an apocalyptic number.

220934720 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 220934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279551130).

220934720 is an abundant number, since it is smaller than the sum of its proper divisors (338167540).

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

220934720 is a wasteful number, since it uses less digits than its factorization.

220934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 220934720 is about 14863.8729811580. The cubic root of 220934720 is about 604.5348244482.

The spelling of 220934720 in words is "two hundred twenty million, nine hundred thirty-four thousand, seven hundred twenty".