225331217104 has 80 divisors (see below), whose sum is σ = 515143028736. Its totient is φ = 93473049600.

The previous prime is 225331217093. The next prime is 225331217107. The reversal of 225331217104 is 401712133522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225331217107) by changing a digit.

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, 389994 + ... + 776374.

Almost surely, 2^225331217104 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 225331217104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257571514368).

225331217104 is an abundant number, since it is smaller than the sum of its proper divisors (289811811632).

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

225331217104 is a wasteful number, since it uses less digits than its factorization.

225331217104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386564 (or 386558 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 225331217104 in words is "two hundred twenty-five billion, three hundred thirty-one million, two hundred seventeen thousand, one hundred four".