225248008050 has 162 divisors, whose sum is σ = 655679423061. Its totient is φ = 55413446400.

The previous prime is 225248008049. The next prime is 225248008057. The reversal of 225248008050 is 50800842522.

225248008050 is a `hidden beast` number, since 2 + 2 + 52 + 480 + 0 + 80 + 50 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 17664802281 + 207583205769 = 132909^2 + 455613^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335595.

It is a super-3 number, since 3×225248008050³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225248007996 and 225248008014.

It is not an unprimeable number, because it can be changed into a prime (225248008057) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 130881190 + ... + 130882910.

Almost surely, 2^225248008050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225248008050

225248008050 is an abundant number, since it is smaller than the sum of its proper divisors (430431415011).

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

225248008050 is a wasteful number, since it uses less digits than its factorization.

225248008050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 225248008050 in words is "two hundred twenty-five billion, two hundred forty-eight million, eight thousand, fifty".