225268144200 has 756 divisors, whose sum is σ = 870846804555. Its totient is φ = 54127180800.

The previous prime is 225268144121. The next prime is 225268144207. The reversal of 225268144200 is 2441862522.

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.

225268144200 is a `hidden beast` number, since 2 + 252 + 68 + 144 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 17288964 + 225250855236 = 4158^2 + 474606^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335610.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225268144207) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1993523344 + ... + 1993523456.

Almost surely, 2^225268144200 is an apocalyptic number.

225268144200 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 225268144200

225268144200 is an abundant number, since it is smaller than the sum of its proper divisors (645578660355).

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

225268144200 is a wasteful number, since it uses less digits than its factorization.

225268144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 225268144200 in words is "two hundred twenty-five billion, two hundred sixty-eight million, one hundred forty-four thousand, two hundred".