226507972167 has 24 divisors (see below), whose sum is σ = 336056889168. Its totient is φ = 146927203200.

The previous prime is 226507972157. The next prime is 226507972183. The reversal of 226507972167 is 761279705622.

It is a happy number.

226507972167 is a `hidden beast` number, since 2 + 2 + 6 + 507 + 9 + 72 + 1 + 67 = 666.

It is not a de Polignac number, because 226507972167 - 2¹⁰ = 226507971143 is a prime.

It is a super-2 number, since 2×226507972167² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226507972157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685209 + ... + 960482.

It is an arithmetic number, because the mean of its divisors is an integer number (14002370382).

Almost surely, 2^226507972167 is an apocalyptic number.

226507972167 is a deficient number, since it is larger than the sum of its proper divisors (109548917001).

226507972167 is a wasteful number, since it uses less digits than its factorization.

226507972167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646111 (or 1646108 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 226507972167 in words is "two hundred twenty-six billion, five hundred seven million, nine hundred seventy-two thousand, one hundred sixty-seven".