83222832 has 240 divisors, whose sum is σ = 284981760. Its totient is φ = 20444160.

The previous prime is 83222827. The next prime is 83222833. The reversal of 83222832 is 23822238.

It is a super-2 number, since 2×83222832² = 13852079532200448, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83222832.

It is not an unprimeable number, because it can be changed into a prime (83222833) 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 47 ways as a sum of consecutive naturals, for example, 935044 + ... + 935132.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^83222832 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 83222832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

83222832 is an abundant number, since it is smaller than the sum of its proper divisors (201758928).

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

83222832 is a wasteful number, since it uses less digits than its factorization.

83222832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 83222832 is about 9122.6548767341. The cubic root of 83222832 is about 436.5970833578.

The spelling of 83222832 in words is "eighty-three million, two hundred twenty-two thousand, eight hundred thirty-two".