226748961 has 12 divisors (see below), whose sum is σ = 327777060. Its totient is φ = 151050240.

The previous prime is 226748959. The next prime is 226748981. The reversal of 226748961 is 169847622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31979025 + 194769936 = 5655^2 + 13956^2 .

It is not a de Polignac number, because 226748961 - 2¹ = 226748959 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (226748981) 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, 3741 + ... + 21621.

It is an arithmetic number, because the mean of its divisors is an integer number (27314755).

Almost surely, 2^226748961 is an apocalyptic number.

It is an amenable number.

226748961 is a deficient number, since it is larger than the sum of its proper divisors (101028099).

226748961 is a wasteful number, since it uses less digits than its factorization.

226748961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19296 (or 19293 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 226748961 is about 15058.1858469073. The cubic root of 226748961 is about 609.7920647542.

The spelling of 226748961 in words is "two hundred twenty-six million, seven hundred forty-eight thousand, nine hundred sixty-one".