229944000 has 448 divisors, whose sum is σ = 905329152. Its totient is φ = 50688000.

The previous prime is 229943999. The next prime is 229944047. The reversal of 229944000 is 449922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3431967 + ... + 3432033.

It is an arithmetic number, because the mean of its divisors is an integer number (2020824).

Almost surely, 2^229944000 is an apocalyptic number.

229944000 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 229944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452664576).

229944000 is an abundant number, since it is smaller than the sum of its proper divisors (675385152).

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

229944000 is a wasteful number, since it uses less digits than its factorization.

229944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 229944000 is about 15163.9045103825. The cubic root of 229944000 is about 612.6428377130.

The spelling of 229944000 in words is "two hundred twenty-nine million, nine hundred forty-four thousand".