229000800 has 288 divisors, whose sum is σ = 874444032. Its totient is φ = 50964480.

The previous prime is 229000753. The next prime is 229000831. The reversal of 229000800 is 8000922.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722242 + ... + 722558.

It is an arithmetic number, because the mean of its divisors is an integer number (3036264).

Almost surely, 2^229000800 is an apocalyptic number.

229000800 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 229000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437222016).

229000800 is an abundant number, since it is smaller than the sum of its proper divisors (645443232).

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

229000800 is a wasteful number, since it uses less digits than its factorization.

229000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 229000800 is about 15132.7723831425. The cubic root of 229000800 is about 611.8040296976.

The spelling of 229000800 in words is "two hundred twenty-nine million, eight hundred", and thus it is an aban number.