82122224 has 20 divisors (see below), whose sum is σ = 164245440. Its totient is φ = 39736320.

The previous prime is 82122163. The next prime is 82122233. The reversal of 82122224 is 42222128.

82122224 is an admirable number.

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 82122224.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 82289 + ... + 83280.

It is an arithmetic number, because the mean of its divisors is an integer number (8212272).

Almost surely, 2^82122224 is an apocalyptic number.

It is an amenable number.

82122224 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

82122224 is a wasteful number, since it uses less digits than its factorization.

82122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165608 (or 165602 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 82122224 is about 9062.1313166385. The cubic root of 82122224 is about 434.6638950396.

The spelling of 82122224 in words is "eighty-two million, one hundred twenty-two thousand, two hundred twenty-four".