225242300430 has 192 divisors, whose sum is σ = 674442961920. Its totient is φ = 51088776192.

The previous prime is 225242300401. The next prime is 225242300441. The reversal of 225242300430 is 34003242522.

It is a happy number.

225242300430 is a `hidden beast` number, since 225 + 2 + 4 + 2 + 3 + 0 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225242300394 and 225242300403.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 77748742 + ... + 77751638.

It is an arithmetic number, because the mean of its divisors is an integer number (3512723760).

Almost surely, 2^225242300430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225242300430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337221480960).

225242300430 is an abundant number, since it is smaller than the sum of its proper divisors (449200661490).

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

225242300430 is a wasteful number, since it uses less digits than its factorization.

225242300430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 225242300430 its reverse (34003242522), we get a palindrome (259245542952).

The spelling of 225242300430 in words is "two hundred twenty-five billion, two hundred forty-two million, three hundred thousand, four hundred thirty".