229836800 has 108 divisors (see below), whose sum is σ = 578488365. Its totient is φ = 90562560.

The previous prime is 229836799. The next prime is 229836809. The reversal of 229836800 is 8638922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 225240064 + 4596736 = 15008^2 + 2144^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10720.

It is not an unprimeable number, because it can be changed into a prime (229836809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3430367 + ... + 3430433.

Almost surely, 2^229836800 is an apocalyptic number.

229836800 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 229836800

229836800 is an abundant number, since it is smaller than the sum of its proper divisors (348651565).

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

229836800 is an frugal number, since it uses more digits than its factorization.

229836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 229836800 is about 15160.3693886396. The cubic root of 229836800 is about 612.5476181221.

Multiplying 229836800 by its product of nonzero digits (41472), we get a square (9531791769600 = 3087360²).

The spelling of 229836800 in words is "two hundred twenty-nine million, eight hundred thirty-six thousand, eight hundred".