225203106444030 has 384 divisors, whose sum is σ = 734494622045184. Its totient is φ = 47082983270400.

The previous prime is 225203106443989. The next prime is 225203106444047. The reversal of 225203106444030 is 30444601302522.

225203106444030 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 0 + 3 + 1 + 0 + 644 + 4 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×225203106444030² (a number of 30 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 191 ways as a sum of consecutive naturals, for example, 3881970 + ... + 21574890.

It is an arithmetic number, because the mean of its divisors is an integer number (1912746411576).

Almost surely, 2^{225203106444030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225203106444030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367247311022592).

225203106444030 is an abundant number, since it is smaller than the sum of its proper divisors (509291515601154).

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

225203106444030 is a wasteful number, since it uses less digits than its factorization.

225203106444030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17693024 (or 17693021 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 225203106444030 its reverse (30444601302522), we get a palindrome (255647707746552).

The spelling of 225203106444030 in words is "two hundred twenty-five trillion, two hundred three billion, one hundred six million, four hundred forty-four thousand, thirty".