225007434234 has 96 divisors (see below), whose sum is σ = 542183803200. Its totient is φ = 66863105280.

The previous prime is 225007434227. The next prime is 225007434251. The reversal of 225007434234 is 432434700522.

225007434234 is a `hidden beast` number, since 22 + 500 + 74 + 34 + 2 + 34 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4754392 + ... + 4801484.

It is an arithmetic number, because the mean of its divisors is an integer number (5647747950).

Almost surely, 2^225007434234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225007434234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271091901600).

225007434234 is an abundant number, since it is smaller than the sum of its proper divisors (317176368966).

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

225007434234 is a wasteful number, since it uses less digits than its factorization.

225007434234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47580 (or 47577 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 225007434234 in words is "two hundred twenty-five billion, seven million, four hundred thirty-four thousand, two hundred thirty-four".