322213320 has 288 divisors, whose sum is σ = 1241767800. Its totient is φ = 71976960.

The previous prime is 322213303. The next prime is 322213321. The reversal of 322213320 is 23312223.

It is a happy number.

322213320 is a `hidden beast` number, since 322 + 21 + 3 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142706916 + 179506404 = 11946^2 + 13398^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 322213293 and 322213302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322213321) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 565996 + ... + 566564.

Almost surely, 2^322213320 is an apocalyptic number.

322213320 is a gapful number since it is divisible by the number (30) 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 322213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620883900).

322213320 is an abundant number, since it is smaller than the sum of its proper divisors (919554480).

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

322213320 is a wasteful number, since it uses less digits than its factorization.

322213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 603 counting only the distinct ones).

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

The square root of 322213320 is about 17950.3013902274. The cubic root of 322213320 is about 685.5637251287.

Adding to 322213320 its reverse (23312223), we get a palindrome (345525543).

The spelling of 322213320 in words is "three hundred twenty-two million, two hundred thirteen thousand, three hundred twenty".