225848078190 has 192 divisors, whose sum is σ = 711060405120. Its totient is φ = 48552099840.

The previous prime is 225848078179. The next prime is 225848078219. The reversal of 225848078190 is 91870848522.

225848078190 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 480 + 78 + 1 + 90 = 666.

It is a super-2 number, since 2×225848078190² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17354406 + ... + 17367414.

It is an arithmetic number, because the mean of its divisors is an integer number (3703439610).

Almost surely, 2^225848078190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225848078190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355530202560).

225848078190 is an abundant number, since it is smaller than the sum of its proper divisors (485212326930).

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

225848078190 is a wasteful number, since it uses less digits than its factorization.

225848078190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 225848078190 in words is "two hundred twenty-five billion, eight hundred forty-eight million, seventy-eight thousand, one hundred ninety".