226591200 has 216 divisors, whose sum is σ = 871959816. Its totient is φ = 54912000.

The previous prime is 226591187. The next prime is 226591201. The reversal of 226591200 is 2195622.

226591200 is a `hidden beast` number, since 2 + 2 + 659 + 1 + 2 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226591201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77770 + ... + 80630.

It is an arithmetic number, because the mean of its divisors is an integer number (4036851).

Almost surely, 2^226591200 is an apocalyptic number.

226591200 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 226591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435979908).

226591200 is an abundant number, since it is smaller than the sum of its proper divisors (645368616).

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

226591200 is a wasteful number, since it uses less digits than its factorization.

226591200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 226591200 is about 15052.9465554090. The cubic root of 226591200 is about 609.6506106326.

The spelling of 226591200 in words is "two hundred twenty-six million, five hundred ninety-one thousand, two hundred".