225889200 has 180 divisors, whose sum is σ = 830234808. Its totient is φ = 56678400.

The previous prime is 225889199. The next prime is 225889211. The reversal of 225889200 is 2988522.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59355 + ... + 63045.

Almost surely, 2^225889200 is an apocalyptic number.

225889200 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 225889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415117404).

225889200 is an abundant number, since it is smaller than the sum of its proper divisors (604345608).

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

225889200 is a wasteful number, since it uses less digits than its factorization.

225889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 225889200 is about 15029.6107734033. The cubic root of 225889200 is about 609.0203751262.

The spelling of 225889200 in words is "two hundred twenty-five million, eight hundred eighty-nine thousand, two hundred".