82244228 has 48 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 35481600.

The previous prime is 82244207. The next prime is 82244231.

It is a happy number.

82244228 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82244228² = 13528226078631968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82244194 and 82244203.

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 15 ways as a sum of consecutive naturals, for example, 182948 + ... + 183396.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^82244228 is an apocalyptic number.

It is an amenable number.

82244228 is an abundant number, since it is smaller than the sum of its proper divisors (82866172).

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

82244228 is a wasteful number, since it uses less digits than its factorization.

82244228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 82244228 is about 9068.8603473645. The cubic root of 82244228 is about 434.8790397813.

The spelling of 82244228 in words is "eighty-two million, two hundred forty-four thousand, two hundred twenty-eight".