306225200 has 60 divisors (see below), whose sum is σ = 737517528. Its totient is φ = 122188800.

The previous prime is 306225193. The next prime is 306225229. The reversal of 306225200 is 2522603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 236555 + ... + 237845.

Almost surely, 2^306225200 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 306225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368758764).

306225200 is an abundant number, since it is smaller than the sum of its proper divisors (431292328).

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

306225200 is a wasteful number, since it uses less digits than its factorization.

306225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 306225200 is about 17499.2914142259. The cubic root of 306225200 is about 674.0316796916.

Adding to 306225200 its reverse (2522603), we get a palindrome (308747803).

The spelling of 306225200 in words is "three hundred six million, two hundred twenty-five thousand, two hundred".