85222200 has 192 divisors, whose sum is σ = 306408960. Its totient is φ = 19192320.

The previous prime is 85222187. The next prime is 85222261. The reversal of 85222200 is 222258.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 432502 + ... + 432698.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 2^85222200 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 85222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

85222200 is an abundant number, since it is smaller than the sum of its proper divisors (221186760).

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

85222200 is a wasteful number, since it uses less digits than its factorization.

85222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 85222200 is about 9231.5870791538. The cubic root of 85222200 is about 440.0657615208.

Adding to 85222200 its reverse (222258), we get a palindrome (85444458).

The spelling of 85222200 in words is "eighty-five million, two hundred twenty-two thousand, two hundred".