226147626 has 80 divisors (see below), whose sum is σ = 538793640. Its totient is φ = 70761600.

The previous prime is 226147619. The next prime is 226147627. The reversal of 226147626 is 626741622.

226147626 is a `hidden beast` number, since 2 + 26 + 1 + 4 + 7 + 626 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169130025 + 57017601 = 13005^2 + 7551^2 .

It is a super-2 number, since 2×226147626² = 102285497490871752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226147627) 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 39 ways as a sum of consecutive naturals, for example, 173176 + ... + 174476.

Almost surely, 2^226147626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226147626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269396820).

226147626 is an abundant number, since it is smaller than the sum of its proper divisors (312646014).

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

226147626 is a wasteful number, since it uses less digits than its factorization.

226147626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1372 counting only the distinct ones).

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

The square root of 226147626 is about 15038.2055445455. The cubic root of 226147626 is about 609.2525342537.

The spelling of 226147626 in words is "two hundred twenty-six million, one hundred forty-seven thousand, six hundred twenty-six".