226180864 has 216 divisors, whose sum is σ = 603511440. Its totient is φ = 83607552.

The previous prime is 226180861. The next prime is 226180901. The reversal of 226180864 is 468081622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226180861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3098332 + ... + 3098404.

Almost surely, 2^226180864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301755720).

226180864 is an abundant number, since it is smaller than the sum of its proper divisors (377330576).

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

226180864 is a wasteful number, since it uses less digits than its factorization.

226180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 226180864 is about 15039.3106224986. The cubic root of 226180864 is about 609.2823810461.

The spelling of 226180864 in words is "two hundred twenty-six million, one hundred eighty thousand, eight hundred sixty-four".