226312320 has 128 divisors (see below), whose sum is σ = 776946240. Its totient is φ = 55701504.

The previous prime is 226312319. The next prime is 226312351. The reversal of 226312320 is 23213622.

It is a tau number, because it is divible by the number of its divisors (128).

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, 20427 + ... + 29493.

Almost surely, 2^226312320 is an apocalyptic number.

226312320 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 226312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388473120).

226312320 is an abundant number, since it is smaller than the sum of its proper divisors (550633920).

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

226312320 is a wasteful number, since it uses less digits than its factorization.

226312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 226312320 is about 15043.6804007530. The cubic root of 226312320 is about 609.4003962065.

Adding to 226312320 its reverse (23213622), we get a palindrome (249525942).

The spelling of 226312320 in words is "two hundred twenty-six million, three hundred twelve thousand, three hundred twenty".