225759150 has 144 divisors (see below), whose sum is σ = 666613584. Its totient is φ = 56609280.

The previous prime is 225759103. The next prime is 225759151. The reversal of 225759150 is 51957522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225759151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206004 + ... + 207096.

It is an arithmetic number, because the mean of its divisors is an integer number (4629261).

Almost surely, 2^225759150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225759150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333306792).

225759150 is an abundant number, since it is smaller than the sum of its proper divisors (440854434).

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

225759150 is a wasteful number, since it uses less digits than its factorization.

225759150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 225759150 is about 15025.2836911654. The cubic root of 225759150 is about 608.9034766580.

It can be divided in two parts, 225 and 759150, that added together give a 5-th power (759375 = 15⁵).

The spelling of 225759150 in words is "two hundred twenty-five million, seven hundred fifty-nine thousand, one hundred fifty".