832222944 has 192 divisors, whose sum is σ = 2849817600. Its totient is φ = 231289344.

The previous prime is 832222943. The next prime is 832222967. The reversal of 832222944 is 449222238.

832222944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 832222899 and 832222908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832222943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221917 + ... + 225635.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^832222944 is an apocalyptic number.

832222944 is a gapful number since it is divisible by the number (84) 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 832222944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800).

832222944 is an abundant number, since it is smaller than the sum of its proper divisors (2017594656).

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

832222944 is a wasteful number, since it uses less digits than its factorization.

832222944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3768 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 832222944 is about 28848.2745411229. The cubic root of 832222944 is about 940.6178765537.

The spelling of 832222944 in words is "eight hundred thirty-two million, two hundred twenty-two thousand, nine hundred forty-four".