229688800 has 144 divisors (see below), whose sum is σ = 626959872. Its totient is φ = 81446400.

The previous prime is 229688783. The next prime is 229688807. The reversal of 229688800 is 8886922.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229688807) 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, 378097 + ... + 378703.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2^229688800 is an apocalyptic number.

229688800 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 229688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313479936).

229688800 is an abundant number, since it is smaller than the sum of its proper divisors (397271072).

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

229688800 is a wasteful number, since it uses less digits than its factorization.

229688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 229688800 is about 15155.4874550441. The cubic root of 229688800 is about 612.4161095712.

The spelling of 229688800 in words is "two hundred twenty-nine million, six hundred eighty-eight thousand, eight hundred".