99225000 has 360 divisors, whose sum is σ = 404095230. Its totient is φ = 22680000.

The previous prime is 99224999. The next prime is 99225019. The reversal of 99225000 is 52299.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 142884 + 99082116 = 378^2 + 9954^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 89 ways as a sum of consecutive naturals, for example, 14174997 + ... + 14175003.

Almost surely, 2^99225000 is an apocalyptic number.

99225000 is a gapful number since it is divisible by the number (90) 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 99225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202047615).

99225000 is an abundant number, since it is smaller than the sum of its proper divisors (304870230).

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

99225000 is an equidigital number, since it uses as much as digits as its factorization.

99225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 99225000 is about 9961.1746295304. The cubic root of 99225000 is about 462.9566952238.

Adding to 99225000 its reverse (52299), we get a palindrome (99277299).

The spelling of 99225000 in words is "ninety-nine million, two hundred twenty-five thousand".