226634400 has 108 divisors (see below), whose sum is σ = 799194942. Its totient is φ = 60433920.

The previous prime is 226634371. The next prime is 226634411. The reversal of 226634400 is 4436622.

226634400 is a `hidden beast` number, since 2 + 26 + 634 + 4 + 0 + 0 = 666.

226634400 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 183548304 + 43086096 = 13548^2 + 6564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8539 + ... + 22938.

Almost surely, 2^226634400 is an apocalyptic number.

226634400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226634400 is an abundant number, since it is smaller than the sum of its proper divisors (572560542).

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

226634400 is a wasteful number, since it uses less digits than its factorization.

226634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31503 (or 31487 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 226634400 is about 15054.3814220313. The cubic root of 226634400 is about 609.6893518147.

The spelling of 226634400 in words is "two hundred twenty-six million, six hundred thirty-four thousand, four hundred".