226734400 has 42 divisors (see below), whose sum is σ = 557912270. Its totient is φ = 90693120.

The previous prime is 226734379. The next prime is 226734401. The reversal of 226734400 is 4437622.

226734400 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 2214144 + 224520256 = 1488^2 + 14984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226734401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 69255 + ... + 72454.

Almost surely, 2^226734400 is an apocalyptic number.

226734400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226734400 is an abundant number, since it is smaller than the sum of its proper divisors (331177870).

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

226734400 is a wasteful number, since it uses less digits than its factorization.

226734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141731 (or 141716 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 226734400 is about 15057.7023479680. The cubic root of 226734400 is about 609.7790115929.

The spelling of 226734400 in words is "two hundred twenty-six million, seven hundred thirty-four thousand, four hundred".