225724547400 has 192 divisors, whose sum is σ = 763647998400. Its totient is φ = 54700416000.

The previous prime is 225724547393. The next prime is 225724547413. The reversal of 225724547400 is 4745427522.

It is a happy 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, 24474790 + ... + 24484010.

It is an arithmetic number, because the mean of its divisors is an integer number (3977333325).

Almost surely, 2^225724547400 is an apocalyptic number.

225724547400 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 225724547400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381823999200).

225724547400 is an abundant number, since it is smaller than the sum of its proper divisors (537923451000).

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

225724547400 is a wasteful number, since it uses less digits than its factorization.

225724547400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 12951 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 42.

The spelling of 225724547400 in words is "two hundred twenty-five billion, seven hundred twenty-four million, five hundred forty-seven thousand, four hundred".