82223616 has 80 divisors (see below), whose sum is σ = 220968000. Its totient is φ = 27168768.

The previous prime is 82223599. The next prime is 82223651. The reversal of 82223616 is 61632228.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305530 + ... + 305798.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2^82223616 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 82223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110484000).

82223616 is an abundant number, since it is smaller than the sum of its proper divisors (138744384).

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

82223616 is a wasteful number, since it uses less digits than its factorization.

82223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 82223616 is about 9067.7238599331. The cubic root of 82223616 is about 434.8427070362.

The spelling of 82223616 in words is "eighty-two million, two hundred twenty-three thousand, six hundred sixteen".