225200192 has 56 divisors (see below), whose sum is σ = 514258560. Its totient is φ = 95846400.

The previous prime is 225200191. The next prime is 225200201. The reversal of 225200192 is 291002522.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (225200191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65984 + ... + 69312.

Almost surely, 2^225200192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257129280).

225200192 is an abundant number, since it is smaller than the sum of its proper divisors (289058368).

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

225200192 is a wasteful number, since it uses less digits than its factorization.

225200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 225200192 is about 15006.6715829993. The cubic root of 225200192 is about 608.4005324820.

The spelling of 225200192 in words is "two hundred twenty-five million, two hundred thousand, one hundred ninety-two".