82223504 has 40 divisors (see below), whose sum is σ = 175092960. Its totient is φ = 37094400.

The previous prime is 82223489. The next prime is 82223527. The reversal of 82223504 is 40532228.

It is a super-2 number, since 2×82223504² = 13521409220076032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22784 + ... + 26144.

It is an arithmetic number, because the mean of its divisors is an integer number (4377324).

Almost surely, 2^82223504 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 82223504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87546480).

82223504 is an abundant number, since it is smaller than the sum of its proper divisors (92869456).

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

82223504 is a wasteful number, since it uses less digits than its factorization.

82223504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 82223504 is about 9067.7176841805. The cubic root of 82223504 is about 434.8425095974.

The spelling of 82223504 in words is "eighty-two million, two hundred twenty-three thousand, five hundred four".