225140454333200 has 240 divisors, whose sum is σ = 623089259735040. Its totient is φ = 76577755138560.

The previous prime is 225140454333169. The next prime is 225140454333203. The reversal of 225140454333200 is 2333454041522.

It is not an unprimeable number, because it can be changed into a prime (225140454333203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516250439 + ... + 516686361.

It is an arithmetic number, because the mean of its divisors is an integer number (2596205248896).

Almost surely, 2^{225140454333200} is an apocalyptic number.

225140454333200 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 225140454333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311544629867520).

225140454333200 is an abundant number, since it is smaller than the sum of its proper divisors (397948805401840).

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

225140454333200 is a wasteful number, since it uses less digits than its factorization.

225140454333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437414 (or 437403 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

The spelling of 225140454333200 in words is "two hundred twenty-five trillion, one hundred forty billion, four hundred fifty-four million, three hundred thirty-three thousand, two hundred".