225930600 has 384 divisors, whose sum is σ = 916608000. Its totient is φ = 50077440.

The previous prime is 225930589. The next prime is 225930701. The reversal of 225930600 is 6039522.

225930600 is a `hidden beast` number, since 2 + 2 + 59 + 3 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1625331 + ... + 1625469.

It is an arithmetic number, because the mean of its divisors is an integer number (2387000).

Almost surely, 2^225930600 is an apocalyptic number.

225930600 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 225930600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304000).

225930600 is an abundant number, since it is smaller than the sum of its proper divisors (690677400).

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

225930600 is a wasteful number, since it uses less digits than its factorization.

225930600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 225930600 is about 15030.9879914795. The cubic root of 225930600 is about 609.0575790641.

The spelling of 225930600 in words is "two hundred twenty-five million, nine hundred thirty thousand, six hundred".