225075004 has 72 divisors (see below), whose sum is σ = 510992384. Its totient is φ = 84823200.

The previous prime is 225074989. The next prime is 225075023. The reversal of 225075004 is 400570522.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225075004.

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 23 ways as a sum of consecutive naturals, for example, 103957 + ... + 106099.

Almost surely, 2^225075004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225075004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255496192).

225075004 is an abundant number, since it is smaller than the sum of its proper divisors (285917380).

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

225075004 is a wasteful number, since it uses less digits than its factorization.

225075004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 225075004 is about 15002.4999250125. The cubic root of 225075004 is about 608.2877756755.

The spelling of 225075004 in words is "two hundred twenty-five million, seventy-five thousand, four".