220034304 has 162 divisors, whose sum is σ = 738369450. Its totient is φ = 62834688.

The previous prime is 220034303. The next prime is 220034329. The reversal of 220034304 is 403430022.

It can be written as a sum of positive squares in only one way, i.e., 208744704 + 11289600 = 14448^2 + 3360^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220034303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111922 + ... + 113870.

Almost surely, 2^220034304 is an apocalyptic number.

220034304 is a gapful number since it is divisible by the number (24) 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 220034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369184725).

220034304 is an abundant number, since it is smaller than the sum of its proper divisors (518335146).

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

220034304 is a wasteful number, since it uses less digits than its factorization.

220034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 220034304 is about 14833.5533167208. The cubic root of 220034304 is about 603.7124488302.

Adding to 220034304 its reverse (403430022), we get a palindrome (623464326).

The spelling of 220034304 in words is "two hundred twenty million, thirty-four thousand, three hundred four".