225076104 has 128 divisors (see below), whose sum is σ = 698227200. Its totient is φ = 66588480.

The previous prime is 225076079. The next prime is 225076121. The reversal of 225076104 is 401670522.

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

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 31 ways as a sum of consecutive naturals, for example, 101067 + ... + 103269.

It is an arithmetic number, because the mean of its divisors is an integer number (5454900).

Almost surely, 2^225076104 is an apocalyptic number.

225076104 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 225076104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349113600).

225076104 is an abundant number, since it is smaller than the sum of its proper divisors (473151096).

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

225076104 is a wasteful number, since it uses less digits than its factorization.

225076104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225076104 is about 15002.5365855245. The cubic root of 225076104 is about 608.2887666273.

The spelling of 225076104 in words is "two hundred twenty-five million, seventy-six thousand, one hundred four".