226260900 has 108 divisors (see below), whose sum is σ = 733742100. Its totient is φ = 58248960.

The previous prime is 226260893. The next prime is 226260901. The reversal of 226260900 is 9062622.

It can be written as a sum of positive squares in 6 ways, for example, as 5560164 + 220700736 = 2358^2 + 14856^2 .

It is not an unprimeable number, because it can be changed into a prime (226260901) 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 35 ways as a sum of consecutive naturals, for example, 21766 + ... + 30434.

Almost surely, 2^226260900 is an apocalyptic number.

226260900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226260900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366871050).

226260900 is an abundant number, since it is smaller than the sum of its proper divisors (507481200).

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

226260900 is a wasteful number, since it uses less digits than its factorization.

226260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226260900 is about 15041.9712803874. The cubic root of 226260900 is about 609.3542391349.

The spelling of 226260900 in words is "two hundred twenty-six million, two hundred sixty thousand, nine hundred".