226051751601 has 81 divisors (see below), whose sum is σ = 360637299009. Its totient is φ = 136381594752.

The previous prime is 226051751599. The next prime is 226051751663. The reversal of 226051751601 is 106157150622.

The square root of 226051751601 is 475449.

It is a perfect power (a square), and thus also a powerful number.

226051751601 is a `hidden beast` number, since 22 + 60 + 517 + 5 + 1 + 60 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22740941601 + 203310810000 = 150801^2 + 450900^2 .

It is not a de Polignac number, because 226051751601 - 2¹ = 226051751599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226051751701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1353603220 + ... + 1353603386.

Almost surely, 2^226051751601 is an apocalyptic number.

226051751601 is the 475449-th square number.

226051751601 is the 237725-th centered octagonal number.

It is an amenable number.

226051751601 is a deficient number, since it is larger than the sum of its proper divisors (134585547408).

226051751601 is an equidigital number, since it uses as much as digits as its factorization.

226051751601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 226051751601 by its sum of digits (36), we get a square (8137863057636 = 2852694²).

The spelling of 226051751601 in words is "two hundred twenty-six billion, fifty-one million, seven hundred fifty-one thousand, six hundred one".