229816400 has 120 divisors (see below), whose sum is σ = 634260000. Its totient is φ = 79142400.

The previous prime is 229816399. The next prime is 229816403. The reversal of 229816400 is 4618922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229816403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 82226 + ... + 84974.

It is an arithmetic number, because the mean of its divisors is an integer number (5285500).

Almost surely, 2^229816400 is an apocalyptic number.

229816400 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 229816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317130000).

229816400 is an abundant number, since it is smaller than the sum of its proper divisors (404443600).

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

229816400 is a wasteful number, since it uses less digits than its factorization.

229816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 229816400 is about 15159.6965668842. The cubic root of 229816400 is about 612.5294946230.

The spelling of 229816400 in words is "two hundred twenty-nine million, eight hundred sixteen thousand, four hundred".