229356800 has 54 divisors (see below), whose sum is σ = 567709758. Its totient is φ = 91740160.

The previous prime is 229356763. The next prime is 229356863. The reversal of 229356800 is 8653922.

It can be written as a sum of positive squares in 3 ways, for example, as 4596736 + 224760064 = 2144^2 + 14992^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11519 + ... + 24318.

Almost surely, 2^229356800 is an apocalyptic number.

229356800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229356800 is an abundant number, since it is smaller than the sum of its proper divisors (338352958).

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

229356800 is an equidigital number, since it uses as much as digits as its factorization.

229356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35863 (or 35844 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 229356800 is about 15144.5303657789. The cubic root of 229356800 is about 612.1208982679.

The spelling of 229356800 in words is "two hundred twenty-nine million, three hundred fifty-six thousand, eight hundred".