225452322000 has 800 divisors, whose sum is σ = 865867036320. Its totient is φ = 56435097600.

The previous prime is 225452321953. The next prime is 225452322001. The reversal of 225452322000 is 223254522.

225452322000 is a `hidden beast` number, since 2 + 2 + 5 + 452 + 3 + 2 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 33156039744 + 192296282256 = 182088^2 + 438516^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225452322001) 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 159 ways as a sum of consecutive naturals, for example, 173825352 + ... + 173826648.

Almost surely, 2^225452322000 is an apocalyptic number.

225452322000 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 225452322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432933518160).

225452322000 is an abundant number, since it is smaller than the sum of its proper divisors (640414714320).

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

225452322000 is a wasteful number, since it uses less digits than its factorization.

225452322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 225452322000 its reverse (223254522), we get a palindrome (225675576522).

The spelling of 225452322000 in words is "two hundred twenty-five billion, four hundred fifty-two million, three hundred twenty-two thousand".