320222496 has 96 divisors (see below), whose sum is σ = 930134016. Its totient is φ = 95648000.

The previous prime is 320222459. The next prime is 320222503. The reversal of 320222496 is 694222023.

It is a tau number, because it is divible by the number of its divisors (96).

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, 72841 + ... + 77111.

It is an arithmetic number, because the mean of its divisors is an integer number (9688896).

Almost surely, 2^320222496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320222496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465067008).

320222496 is an abundant number, since it is smaller than the sum of its proper divisors (609911520).

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

320222496 is a wasteful number, since it uses less digits than its factorization.

320222496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 320222496 is about 17894.7616916236. The cubic root of 320222496 is about 684.1488681139.

The spelling of 320222496 in words is "three hundred twenty million, two hundred twenty-two thousand, four hundred ninety-six".