82226208 has 48 divisors (see below), whose sum is σ = 217135296. Its totient is φ = 27244800.

The previous prime is 82226189. The next prime is 82226227. The reversal of 82226208 is 80262228.

It is an interprime number because it is at equal distance from previous prime (82226189) and next prime (82226227).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×82226208² = 13522298564118528, 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, 14133 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (4523652).

Almost surely, 2^82226208 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 82226208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108567648).

82226208 is an abundant number, since it is smaller than the sum of its proper divisors (134909088).

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

82226208 is a wasteful number, since it uses less digits than its factorization.

82226208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82226208 is about 9067.8667833179. The cubic root of 82226208 is about 434.8472762849.

The spelling of 82226208 in words is "eighty-two million, two hundred twenty-six thousand, two hundred eight".