320201224 has 96 divisors (see below), whose sum is σ = 741761280. Its totient is φ = 126862848.

The previous prime is 320201221. The next prime is 320201237. The reversal of 320201224 is 422102023.

It is a junction number, because it is equal to n+sod(n) for n = 320201198 and 320201207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320201221) 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 23 ways as a sum of consecutive naturals, for example, 949984 + ... + 950320.

It is an arithmetic number, because the mean of its divisors is an integer number (7726680).

Almost surely, 2^320201224 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 320201224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370880640).

320201224 is an abundant number, since it is smaller than the sum of its proper divisors (421560056).

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

320201224 is a wasteful number, since it uses less digits than its factorization.

320201224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 320201224 is about 17894.1673178720. The cubic root of 320201224 is about 684.1337187129.

Adding to 320201224 its reverse (422102023), we get a palindrome (742303247).

The spelling of 320201224 in words is "three hundred twenty million, two hundred one thousand, two hundred twenty-four".