82225206 has 80 divisors (see below), whose sum is σ = 217451520. Its totient is φ = 22725360.

The previous prime is 82225193. The next prime is 82225219. The reversal of 82225206 is 60252228.

It is an interprime number because it is at equal distance from previous prime (82225193) and next prime (82225219).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 82225206.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 33985 + ... + 36323.

It is an arithmetic number, because the mean of its divisors is an integer number (2718144).

Almost surely, 2^82225206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82225206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108725760).

82225206 is an abundant number, since it is smaller than the sum of its proper divisors (135226314).

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

82225206 is a wasteful number, since it uses less digits than its factorization.

82225206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82225206 is about 9067.8115331098. The cubic root of 82225206 is about 434.8455099432.

The spelling of 82225206 in words is "eighty-two million, two hundred twenty-five thousand, two hundred six".