225726347400 has 96 divisors (see below), whose sum is σ = 700814743200. Its totient is φ = 60102246400.

The previous prime is 225726347393. The next prime is 225726347443. The reversal of 225726347400 is 4743627522.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 109960 + ... + 680840.

It is an arithmetic number, because the mean of its divisors is an integer number (7300153575).

Almost surely, 2^225726347400 is an apocalyptic number.

225726347400 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 225726347400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350407371600).

225726347400 is an abundant number, since it is smaller than the sum of its proper divisors (475088395800).

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

225726347400 is a wasteful number, since it uses less digits than its factorization.

225726347400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571559 (or 571550 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 225726347400 in words is "two hundred twenty-five billion, seven hundred twenty-six million, three hundred forty-seven thousand, four hundred".