220431330 has 192 divisors, whose sum is σ = 685301760. Its totient is φ = 48117888.

The previous prime is 220431329. The next prime is 220431347. The reversal of 220431330 is 33134022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2140059 + ... + 2140161.

It is an arithmetic number, because the mean of its divisors is an integer number (3569280).

Almost surely, 2^220431330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220431330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342650880).

220431330 is an abundant number, since it is smaller than the sum of its proper divisors (464870430).

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

220431330 is a wasteful number, since it uses less digits than its factorization.

220431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 220431330 is about 14846.9299856906. The cubic root of 220431330 is about 604.0753400019.

Adding to 220431330 its reverse (33134022), we get a palindrome (253565352).

The spelling of 220431330 in words is "two hundred twenty million, four hundred thirty-one thousand, three hundred thirty".