82253220 has 192 divisors, whose sum is σ = 277831680. Its totient is φ = 17791488.

The previous prime is 82253219. The next prime is 82253231. The reversal of 82253220 is 2235228.

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 63 ways as a sum of consecutive naturals, for example, 1041141 + ... + 1041219.

It is an arithmetic number, because the mean of its divisors is an integer number (1447040).

Almost surely, 2^82253220 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 82253220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915840).

82253220 is an abundant number, since it is smaller than the sum of its proper divisors (195578460).

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

82253220 is a wasteful number, since it uses less digits than its factorization.

82253220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 82253220 is about 9069.3560962176. The cubic root of 82253220 is about 434.8948880660.

Adding to 82253220 its reverse (2235228), we get a palindrome (84488448).

The spelling of 82253220 in words is "eighty-two million, two hundred fifty-three thousand, two hundred twenty".