225203514434000 has 160 divisors (see below), whose sum is σ = 546660673977600. Its totient is φ = 89731054195200.

The previous prime is 225203514433979. The next prime is 225203514434023. The reversal of 225203514434000 is 434415302522.

It is a happy number.

225203514434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421109087 + ... + 3421174913.

It is an arithmetic number, because the mean of its divisors is an integer number (3416629212360).

Almost surely, 2^{225203514434000} is an apocalyptic number.

225203514434000 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 225203514434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273330336988800).

225203514434000 is an abundant number, since it is smaller than the sum of its proper divisors (321457159543600).

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

225203514434000 is a wasteful number, since it uses less digits than its factorization.

225203514434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72478 (or 72462 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 225203514434000 its reverse (434415302522), we get a palindrome (225637929736522).

The spelling of 225203514434000 in words is "two hundred twenty-five trillion, two hundred three billion, five hundred fourteen million, four hundred thirty-four thousand".