225604403340030 has 288 divisors, whose sum is σ = 699632561452032. Its totient is φ = 49994752953600.

The previous prime is 225604403339993. The next prime is 225604403340037. The reversal of 225604403340030 is 30043304406522.

225604403340030 is a `hidden beast` number, since 2 + 2 + 5 + 604 + 4 + 0 + 3 + 3 + 40 + 0 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225604403340037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10687195 + ... + 23778665.

It is an arithmetic number, because the mean of its divisors is an integer number (2429279727264).

Almost surely, 2^{225604403340030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225604403340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349816280726016).

225604403340030 is an abundant number, since it is smaller than the sum of its proper divisors (474028158112002).

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

225604403340030 is a wasteful number, since it uses less digits than its factorization.

225604403340030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13091624 (or 13091608 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 225604403340030 its reverse (30043304406522), we get a palindrome (255647707746552).

The spelling of 225604403340030 in words is "two hundred twenty-five trillion, six hundred four billion, four hundred three million, three hundred forty thousand, thirty".