83442224 has 40 divisors (see below), whose sum is σ = 172280640. Its totient is φ = 39037248.

The previous prime is 83442223. The next prime is 83442241. The reversal of 83442224 is 42224438.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83442223) 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 7 ways as a sum of consecutive naturals, for example, 23579 + ... + 26885.

It is an arithmetic number, because the mean of its divisors is an integer number (4307016).

Almost surely, 2^83442224 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 83442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86140320).

83442224 is an abundant number, since it is smaller than the sum of its proper divisors (88838416).

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

83442224 is a wasteful number, since it uses less digits than its factorization.

83442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3411 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 83442224 is about 9134.6715321351. The cubic root of 83442224 is about 436.9803990810.

The spelling of 83442224 in words is "eighty-three million, four hundred forty-two thousand, two hundred twenty-four".