229168800 has 216 divisors, whose sum is σ = 923753376. Its totient is φ = 52369920.

The previous prime is 229168799. The next prime is 229168811. The reversal of 229168800 is 8861922.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 48127 + ... + 52673.

It is an arithmetic number, because the mean of its divisors is an integer number (4276636).

Almost surely, 2^229168800 is an apocalyptic number.

229168800 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 229168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461876688).

229168800 is an abundant number, since it is smaller than the sum of its proper divisors (694584576).

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

229168800 is a wasteful number, since it uses less digits than its factorization.

229168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 229168800 is about 15138.3222320044. The cubic root of 229168800 is about 611.9536040696.

The spelling of 229168800 in words is "two hundred twenty-nine million, one hundred sixty-eight thousand, eight hundred".