82000226 has 96 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 29635200.

The previous prime is 82000201. The next prime is 82000229. The reversal of 82000226 is 62200028.

It is a junction number, because it is equal to n+sod(n) for n = 82000198 and 82000207.

It is not an unprimeable number, because it can be changed into a prime (82000229) 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 47 ways as a sum of consecutive naturals, for example, 1344236 + ... + 1344296.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330).

Almost surely, 2^82000226 is an apocalyptic number.

82000226 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

82000226 is an abundant number, since it is smaller than the sum of its proper divisors (85935454).

82000226 is a wasteful number, since it uses less digits than its factorization.

82000226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 82000226 is about 9055.3976168913. The cubic root of 82000226 is about 434.4485477037.

It can be divided in two parts, 8200022 and 6, that added together give a palindrome (8200028).

The spelling of 82000226 in words is "eighty-two million, two hundred twenty-six", and thus it is an aban number.