225338097600 has 504 divisors, whose sum is σ = 998535577728. Its totient is φ = 46823270400.

The previous prime is 225338097533. The next prime is 225338097613. The reversal of 225338097600 is 6790833522.

225338097600 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 38 + 0 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1007187 + ... + 1210413.

Almost surely, 2^225338097600 is an apocalyptic number.

225338097600 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 225338097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499267788864).

225338097600 is an abundant number, since it is smaller than the sum of its proper divisors (773197480128).

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

225338097600 is a wasteful number, since it uses less digits than its factorization.

225338097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203273 (or 203255 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 225338097600 in words is "two hundred twenty-five billion, three hundred thirty-eight million, ninety-seven thousand, six hundred".