220732290 has 80 divisors (see below), whose sum is σ = 601816248. Its totient is φ = 58040064.

The previous prime is 220732283. The next prime is 220732297. The reversal of 220732290 is 92237022.

It is an interprime number because it is at equal distance from previous prime (220732283) and next prime (220732297).

It can be written as a sum of positive squares in 4 ways, for example, as 186404409 + 34327881 = 13653^2 + 5859^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220732297) 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 39 ways as a sum of consecutive naturals, for example, 57264 + ... + 60996.

Almost surely, 2^220732290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220732290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300908124).

220732290 is an abundant number, since it is smaller than the sum of its proper divisors (381083958).

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

220732290 is a wasteful number, since it uses less digits than its factorization.

220732290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 220732290 is about 14857.0619571973. The cubic root of 220732290 is about 604.3501343295.

The spelling of 220732290 in words is "two hundred twenty million, seven hundred thirty-two thousand, two hundred ninety".