226252543540032 has 140 divisors (see below), whose sum is σ = 693810432409380. Its totient is φ = 72816910516224.

The previous prime is 226252543540027. The next prime is 226252543540039. The reversal of 226252543540032 is 230045345252622.

226252543540032 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 52 + 54 + 3 + 540 + 0 + 3 + 2 = 666.

226252543540032 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 148767199304256 + 77485344235776 = 12197016^2 + 8802576^2 .

It is a super-2 number, since 2×226252543540032² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226252543540032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226252543540039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 752339233 + ... + 752639904.

Almost surely, 2^{226252543540032} is an apocalyptic number.

It is an amenable number.

226252543540032 is an abundant number, since it is smaller than the sum of its proper divisors (467557888869348).

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

226252543540032 is a wasteful number, since it uses less digits than its factorization.

226252543540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504979190 (or 1504979171 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 226252543540032 its reverse (230045345252622), we get a palindrome (456297888792654).

The spelling of 226252543540032 in words is "two hundred twenty-six trillion, two hundred fifty-two billion, five hundred forty-three million, five hundred forty thousand, thirty-two".