225400352202 has 192 divisors, whose sum is σ = 526551217920. Its totient is φ = 69560644608.

The previous prime is 225400352183. The next prime is 225400352237. The reversal of 225400352202 is 202253004522.

225400352202 is a `hidden beast` number, since 2 + 2 + 5 + 400 + 3 + 52 + 202 = 666.

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, 236516158 + ... + 236517110.

It is an arithmetic number, because the mean of its divisors is an integer number (2742454260).

Almost surely, 2^225400352202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225400352202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263275608960).

225400352202 is an abundant number, since it is smaller than the sum of its proper divisors (301150865718).

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

225400352202 is a wasteful number, since it uses less digits than its factorization.

225400352202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 225400352202 its reverse (202253004522), we get a palindrome (427653356724).

The spelling of 225400352202 in words is "two hundred twenty-five billion, four hundred million, three hundred fifty-two thousand, two hundred two".