82226600 has 48 divisors (see below), whose sum is σ = 197783100. Its totient is φ = 31754240.

The previous prime is 82226581. The next prime is 82226647. The reversal of 82226600 is 662228.

It can be written as a sum of positive squares in 6 ways, for example, as 59320804 + 22905796 = 7702^2 + 4786^2 .

It is a super-2 number, since 2×82226600² = 13522427495120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82226600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289 + ... + 12888.

Almost surely, 2^82226600 is an apocalyptic number.

It is an amenable number.

82226600 is an abundant number, since it is smaller than the sum of its proper divisors (115556500).

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

82226600 is a wasteful number, since it uses less digits than its factorization.

82226600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 82226600 is about 9067.8883980781. Note that the first 3 decimals coincide. The cubic root of 82226600 is about 434.8479673049.

Adding to 82226600 its reverse (662228), we get a palindrome (82888828).

The spelling of 82226600 in words is "eighty-two million, two hundred twenty-six thousand, six hundred".