322233648 has 120 divisors (see below), whose sum is σ = 925201200. Its totient is φ = 96560640.

The previous prime is 322233643. The next prime is 322233661. The reversal of 322233648 is 846332223.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322233643) 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 23 ways as a sum of consecutive naturals, for example, 632818 + ... + 633326.

It is an arithmetic number, because the mean of its divisors is an integer number (7710010).

Almost surely, 2^322233648 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 322233648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462600600).

322233648 is an abundant number, since it is smaller than the sum of its proper divisors (602967552).

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

322233648 is a wasteful number, since it uses less digits than its factorization.

322233648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 634 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 322233648 is about 17950.8676113440. The cubic root of 322233648 is about 685.5781419198.

The spelling of 322233648 in words is "three hundred twenty-two million, two hundred thirty-three thousand, six hundred forty-eight".