226626417 has 28 divisors (see below), whose sum is σ = 341265204. Its totient is φ = 150426720.

The previous prime is 226626403. The next prime is 226626419. The reversal of 226626417 is 714626622.

226626417 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 2 + 641 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187388721 + 39237696 = 13689^2 + 6264^2 .

It is not a de Polignac number, because 226626417 - 2⁴ = 226626401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226626419) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 213067 + ... + 214127.

It is an arithmetic number, because the mean of its divisors is an integer number (12188043).

Almost surely, 2^226626417 is an apocalyptic number.

226626417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

226626417 is a deficient number, since it is larger than the sum of its proper divisors (114638787).

226626417 is an equidigital number, since it uses as much as digits as its factorization.

226626417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1357 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 226626417 is about 15054.1162809379. The cubic root of 226626417 is about 609.6821931380.

The spelling of 226626417 in words is "two hundred twenty-six million, six hundred twenty-six thousand, four hundred seventeen".