226188961 has 8 divisors (see below), whose sum is σ = 242186760. Its totient is φ = 210490368.

The previous prime is 226188953. The next prime is 226188971. The reversal of 226188961 is 169881622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8065600 + 218123361 = 2840^2 + 14769^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 226188961 - 2³ = 226188953 is a prime.

It is a super-2 number, since 2×226188961² = 102322892156519042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226188931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73236 + ... + 76261.

It is an arithmetic number, because the mean of its divisors is an integer number (30273345).

Almost surely, 2^226188961 is an apocalyptic number.

It is an amenable number.

226188961 is a deficient number, since it is larger than the sum of its proper divisors (15997799).

226188961 is a wasteful number, since it uses less digits than its factorization.

226188961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149603.

The product of its digits is 82944, while the sum is 43.

The square root of 226188961 is about 15039.5798146092. The cubic root of 226188961 is about 609.2896514822.

The spelling of 226188961 in words is "two hundred twenty-six million, one hundred eighty-eight thousand, nine hundred sixty-one".