82266228 has 36 divisors (see below), whose sum is σ = 226856448. Its totient is φ = 24929040.

The previous prime is 82266227. The next prime is 82266259.

82266228 is a `hidden beast` number, since 8 + 2 + 26 + 622 + 8 = 666.

82266228 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82266192 and 82266201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82266221) 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 11 ways as a sum of consecutive naturals, for example, 103476 + ... + 104267.

It is an arithmetic number, because the mean of its divisors is an integer number (6301568).

Almost surely, 2^82266228 is an apocalyptic number.

It is an amenable number.

82266228 is an abundant number, since it is smaller than the sum of its proper divisors (144590220).

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

82266228 is a wasteful number, since it uses less digits than its factorization.

82266228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207764 (or 207759 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82266228 is about 9070.0732080838. The cubic root of 82266228 is about 434.9178124553.

The spelling of 82266228 in words is "eighty-two million, two hundred sixty-six thousand, two hundred twenty-eight".