226600320 has 128 divisors (see below), whose sum is σ = 729699840. Its totient is φ = 59807744.

The previous prime is 226600307. The next prime is 226600333. The reversal of 226600320 is 23006622.

It is an interprime number because it is at equal distance from previous prime (226600307) and next prime (226600333).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204889 + ... + 205991.

It is an arithmetic number, because the mean of its divisors is an integer number (5700780).

Almost surely, 2^226600320 is an apocalyptic number.

226600320 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 226600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364849920).

226600320 is an abundant number, since it is smaller than the sum of its proper divisors (503099520).

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

226600320 is a wasteful number, since it uses less digits than its factorization.

226600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1220 counting only the distinct ones).

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

The square root of 226600320 is about 15053.2494830850. The cubic root of 226600320 is about 609.6587897366.

Adding to 226600320 its reverse (23006622), we get a palindrome (249606942).

The spelling of 226600320 in words is "two hundred twenty-six million, six hundred thousand, three hundred twenty".