225657230400 has 1344 divisors, whose sum is σ = 975368128000. Its totient is φ = 50721914880.

The previous prime is 225657230377. The next prime is 225657230431. The reversal of 225657230400 is 4032756522.

225657230400 is a `hidden beast` number, since 2 + 2 + 56 + 572 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1437307122 + ... + 1437307278.

Almost surely, 2^225657230400 is an apocalyptic number.

225657230400 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 225657230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487684064000).

225657230400 is an abundant number, since it is smaller than the sum of its proper divisors (749710897600).

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

225657230400 is a wasteful number, since it uses less digits than its factorization.

225657230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 225657230400 its reverse (4032756522), we get a palindrome (229689986922).

The spelling of 225657230400 in words is "two hundred twenty-five billion, six hundred fifty-seven million, two hundred thirty thousand, four hundred".