225473025600 has 315 divisors, whose sum is σ = 829410943537. Its totient is φ = 60080555520.

The previous prime is 225473025587. The next prime is 225473025619. The reversal of 225473025600 is 6520374522.

The square root of 225473025600 is 474840.

It is a perfect power (a square), and thus also a powerful number.

225473025600 is a `hidden beast` number, since 2 + 2 + 5 + 47 + 3 + 0 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81170289216 + 144302736384 = 284904^2 + 379872^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 170941741 + ... + 170943059.

Almost surely, 2^225473025600 is an apocalyptic number.

225473025600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225473025600 is the 474840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225473025600

225473025600 is an abundant number, since it is smaller than the sum of its proper divisors (603937917937).

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

225473025600 is an frugal number, since it uses more digits than its factorization.

225473025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 1329 counting only the distinct ones).

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

Multiplying 225473025600 by its sum of digits (36), we get a square (8117028921600 = 2849040²).

225473025600 divided by its sum of digits (36) gives a square (6263139600 = 79140²).

The spelling of 225473025600 in words is "two hundred twenty-five billion, four hundred seventy-three million, twenty-five thousand, six hundred".