85222400 has 66 divisors (see below), whose sum is σ = 211311810. Its totient is φ = 34078720.

The previous prime is 85222399. The next prime is 85222439. The reversal of 85222400 is 422258.

It can be written as a sum of positive squares in 3 ways, for example, as 3211264 + 82011136 = 1792^2 + 9056^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23936 + ... + 27264.

Almost surely, 2^85222400 is an apocalyptic number.

85222400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655905).

85222400 is an abundant number, since it is smaller than the sum of its proper divisors (126089410).

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

85222400 is a wasteful number, since it uses less digits than its factorization.

85222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 85222400 is about 9231.5979115211. The cubic root of 85222400 is about 440.0661057702.

Adding to 85222400 its reverse (422258), we get a palindrome (85644658).

The spelling of 85222400 in words is "eighty-five million, two hundred twenty-two thousand, four hundred".