226186272 has 72 divisors (see below), whose sum is σ = 692706924. Its totient is φ = 69594624.

The previous prime is 226186271. The next prime is 226186297. The reversal of 226186272 is 272681622.

226186272 is a `hidden beast` number, since 2 + 26 + 1 + 8 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226081296 + 104976 = 15036^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226186271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26463 + ... + 33950.

Almost surely, 2^226186272 is an apocalyptic number.

It is an amenable number.

226186272 is an abundant number, since it is smaller than the sum of its proper divisors (466520652).

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

226186272 is a wasteful number, since it uses less digits than its factorization.

226186272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60442 (or 60431 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 226186272 is about 15039.4904168991. The cubic root of 226186272 is about 609.2872370019.

The spelling of 226186272 in words is "two hundred twenty-six million, one hundred eighty-six thousand, two hundred seventy-two".