225004640 has 96 divisors (see below), whose sum is σ = 615444480. Its totient is φ = 76137984.

The previous prime is 225004531. The next prime is 225004657. The reversal of 225004640 is 46400522.

225004640 = T₄₅₉ + T₄₆₀ + ... + T₁₁₃₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87209 + ... + 89751.

It is an arithmetic number, because the mean of its divisors is an integer number (6410880).

Almost surely, 2^225004640 is an apocalyptic number.

225004640 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 225004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307722240).

225004640 is an abundant number, since it is smaller than the sum of its proper divisors (390439840).

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

225004640 is a wasteful number, since it uses less digits than its factorization.

225004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 225004640 is about 15000.1546658693. The cubic root of 225004640 is about 608.2243804793.

The spelling of 225004640 in words is "two hundred twenty-five million, four thousand, six hundred forty".