226588320 has 384 divisors, whose sum is σ = 928972800. Its totient is φ = 50512896.

The previous prime is 226588309. The next prime is 226588321. The reversal of 226588320 is 23885622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226588321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1784097 + ... + 1784223.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^226588320 is an apocalyptic number.

226588320 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 226588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

226588320 is an abundant number, since it is smaller than the sum of its proper divisors (702384480).

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

226588320 is a wasteful number, since it uses less digits than its factorization.

226588320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 226588320 is about 15052.8508927711. The cubic root of 226588320 is about 609.6480277121.

The spelling of 226588320 in words is "two hundred twenty-six million, five hundred eighty-eight thousand, three hundred twenty".