225823104 has 192 divisors, whose sum is σ = 741817440. Its totient is φ = 65323008.

The previous prime is 225823069. The next prime is 225823111. The reversal of 225823104 is 401328522.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 254149 + ... + 255035.

Almost surely, 2^225823104 is an apocalyptic number.

225823104 is a gapful number since it is divisible by the number (24) 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 225823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370908720).

225823104 is an abundant number, since it is smaller than the sum of its proper divisors (515994336).

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

225823104 is a wasteful number, since it uses less digits than its factorization.

225823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 225823104 is about 15027.4117531929. The cubic root of 225823104 is about 608.9609688074.

The spelling of 225823104 in words is "two hundred twenty-five million, eight hundred twenty-three thousand, one hundred four".