226641264 has 80 divisors (see below), whose sum is σ = 632102400. Its totient is φ = 69760768.

The previous prime is 226641227. The next prime is 226641319. The reversal of 226641264 is 462146622.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28477 + ... + 35555.

It is an arithmetic number, because the mean of its divisors is an integer number (7901280).

Almost surely, 2^226641264 is an apocalyptic number.

226641264 is a gapful number since it is divisible by the number (24) 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 226641264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316051200).

226641264 is an abundant number, since it is smaller than the sum of its proper divisors (405461136).

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

226641264 is a wasteful number, since it uses less digits than its factorization.

226641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7136 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 226641264 is about 15054.6093938036. The cubic root of 226641264 is about 609.6955069048.

Adding to 226641264 its reverse (462146622), we get a palindrome (688787886).

The spelling of 226641264 in words is "two hundred twenty-six million, six hundred forty-one thousand, two hundred sixty-four".