225082104 has 64 divisors (see below), whose sum is σ = 610727040. Its totient is φ = 68714880.

The previous prime is 225082093. The next prime is 225082111. The reversal of 225082104 is 401280522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38119 + ... + 43625.

It is an arithmetic number, because the mean of its divisors is an integer number (9542610).

Almost surely, 2^225082104 is an apocalyptic number.

225082104 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 225082104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305363520).

225082104 is an abundant number, since it is smaller than the sum of its proper divisors (385644936).

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

225082104 is a wasteful number, since it uses less digits than its factorization.

225082104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 225082104 is about 15002.7365503764. The cubic root of 225082104 is about 608.2941717623.

The spelling of 225082104 in words is "two hundred twenty-five million, eighty-two thousand, one hundred four".