226259200 has 54 divisors (see below), whose sum is σ = 560042714. Its totient is φ = 90501120.

The previous prime is 226259177. The next prime is 226259203. The reversal of 226259200 is 2952622.

226259200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 78004224 + 148254976 = 8832^2 + 12176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226259203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11277 + ... + 24076.

Almost surely, 2^226259200 is an apocalyptic number.

226259200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226259200 is an abundant number, since it is smaller than the sum of its proper divisors (333783514).

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

226259200 is an equidigital number, since it uses as much as digits as its factorization.

226259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35379 (or 35360 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 226259200 is about 15041.9147717304. The cubic root of 226259200 is about 609.3527130135.

The spelling of 226259200 in words is "two hundred twenty-six million, two hundred fifty-nine thousand, two hundred".