225613405200 has 240 divisors, whose sum is σ = 743938853120. Its totient is φ = 58404188160.

The previous prime is 225613405183. The next prime is 225613405253. The reversal of 225613405200 is 2504316522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 20285241 + ... + 20296359.

Almost surely, 2^225613405200 is an apocalyptic number.

225613405200 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 225613405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371969426560).

225613405200 is an abundant number, since it is smaller than the sum of its proper divisors (518325447920).

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

225613405200 is a wasteful number, since it uses less digits than its factorization.

225613405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11634 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 225613405200 in words is "two hundred twenty-five billion, six hundred thirteen million, four hundred five thousand, two hundred".