220834320 has 80 divisors (see below), whose sum is σ = 782390400. Its totient is φ = 50476032.

The previous prime is 220834307. The next prime is 220834349. The reversal of 220834320 is 23438022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64045 + ... + 67404.

It is an arithmetic number, because the mean of its divisors is an integer number (9779880).

Almost surely, 2^220834320 is an apocalyptic number.

220834320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220834320 is an abundant number, since it is smaller than the sum of its proper divisors (561556080).

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

220834320 is a wasteful number, since it uses less digits than its factorization.

220834320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131472 (or 131466 counting only the distinct ones).

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

The square root of 220834320 is about 14860.4952811136. The cubic root of 220834320 is about 604.4432370739.

The spelling of 220834320 in words is "two hundred twenty million, eight hundred thirty-four thousand, three hundred twenty".