225529200 has 360 divisors, whose sum is σ = 867513920. Its totient is φ = 53913600.

The previous prime is 225529189. The next prime is 225529253. The reversal of 225529200 is 2925522.

225529200 is a `hidden beast` number, since 22 + 552 + 92 + 0 + 0 = 666.

225529200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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, 2854761 + ... + 2854839.

Almost surely, 2^225529200 is an apocalyptic number.

225529200 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 225529200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433756960).

225529200 is an abundant number, since it is smaller than the sum of its proper divisors (641984720).

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

225529200 is a wasteful number, since it uses less digits than its factorization.

225529200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 225529200 is about 15017.6296398599. The cubic root of 225529200 is about 608.6966708353.

The spelling of 225529200 in words is "two hundred twenty-five million, five hundred twenty-nine thousand, two hundred".