225858600 has 432 divisors, whose sum is σ = 897247260. Its totient is φ = 50688000.

The previous prime is 225858533. The next prime is 225858623. The reversal of 225858600 is 6858522.

225858600 is a `hidden beast` number, since 22 + 58 + 586 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49871844 + 175986756 = 7062^2 + 13266^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3702570 + ... + 3702630.

Almost surely, 2^225858600 is an apocalyptic number.

225858600 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 225858600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448623630).

225858600 is an abundant number, since it is smaller than the sum of its proper divisors (671388660).

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

225858600 is a wasteful number, since it uses less digits than its factorization.

225858600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 225858600 is about 15028.5927484911. The cubic root of 225858600 is about 608.9928736416.

The spelling of 225858600 in words is "two hundred twenty-five million, eight hundred fifty-eight thousand, six hundred".