225135262242 has 90 divisors (see below), whose sum is σ = 554663478369. Its totient is φ = 68202676080.

The previous prime is 225135262211. The next prime is 225135262267. The reversal of 225135262242 is 242262531522.

225135262242 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 352 + 62 + 242 = 666.

225135262242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150529256361 + 74606005881 = 387981^2 + 273141^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335511.

It is a super-2 number, since 2×225135262242² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225135262197 and 225135262206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66429484 + ... + 66432872.

Almost surely, 2^225135262242 is an apocalyptic number.

225135262242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225135262242

225135262242 is an abundant number, since it is smaller than the sum of its proper divisors (329528216127).

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

225135262242 is an frugal number, since it uses more digits than its factorization.

225135262242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 3405 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 225135262242 its reverse (242262531522), we get a palindrome (467397793764).

The spelling of 225135262242 in words is "two hundred twenty-five billion, one hundred thirty-five million, two hundred sixty-two thousand, two hundred forty-two".