226830490272 has 144 divisors (see below), whose sum is σ = 683198530560. Its totient is φ = 71141124096.

The previous prime is 226830490253. The next prime is 226830490273. The reversal of 226830490272 is 272094038622.

226830490272 is a `hidden beast` number, since 2 + 2 + 68 + 30 + 490 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (226830490273) 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, 26938479 + ... + 26946897.

It is an arithmetic number, because the mean of its divisors is an integer number (4744434240).

Almost surely, 2^226830490272 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 226830490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341599265280).

226830490272 is an abundant number, since it is smaller than the sum of its proper divisors (456368040288).

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

226830490272 is a wasteful number, since it uses less digits than its factorization.

226830490272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 226830490272 in words is "two hundred twenty-six billion, eight hundred thirty million, four hundred ninety thousand, two hundred seventy-two".