225934128 has 240 divisors, whose sum is σ = 766022400. Its totient is φ = 60802560.

The previous prime is 225934127. The next prime is 225934153. The reversal of 225934128 is 821439522.

It is a happy number.

225934128 is a `hidden beast` number, since 2 + 2 + 593 + 41 + 28 = 666.

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

Its product of digits (34560) is a multiple of the sum of its prime factors (240).

It is a junction number, because it is equal to n+sod(n) for n = 225934092 and 225934101.

It is not an unprimeable number, because it can be changed into a prime (225934127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1724623 + ... + 1724753.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^225934128 is an apocalyptic number.

225934128 is a gapful number since it is divisible by the number (28) 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 225934128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383011200).

225934128 is an abundant number, since it is smaller than the sum of its proper divisors (540088272).

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

225934128 is a wasteful number, since it uses less digits than its factorization.

225934128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 225934128 is about 15031.1053485763. The cubic root of 225934128 is about 609.0607492765.

The spelling of 225934128 in words is "two hundred twenty-five million, nine hundred thirty-four thousand, one hundred twenty-eight".