225050524200 has 384 divisors, whose sum is σ = 830755756800. Its totient is φ = 55851586560.

The previous prime is 225050524133. The next prime is 225050524201. The reversal of 225050524200 is 2425050522.

225050524200 is a `hidden beast` number, since 22 + 50 + 50 + 524 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (225050524201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4570914 + ... + 4619886.

It is an arithmetic number, because the mean of its divisors is an integer number (2163426450).

Almost surely, 2^225050524200 is an apocalyptic number.

225050524200 is a gapful number since it is divisible by the number (20) 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 225050524200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415377878400).

225050524200 is an abundant number, since it is smaller than the sum of its proper divisors (605705232600).

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

225050524200 is a wasteful number, since it uses less digits than its factorization.

225050524200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49058 (or 49043 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 225050524200 its reverse (2425050522), we get a palindrome (227475574722).

The spelling of 225050524200 in words is "two hundred twenty-five billion, fifty million, five hundred twenty-four thousand, two hundred".