229331042304 has 864 divisors, whose sum is σ = 828959080320. Its totient is φ = 54962159616.

The previous prime is 229331042299. The next prime is 229331042341. The reversal of 229331042304 is 403240133922.

229331042304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7907966962 + ... + 7907966990.

It is an arithmetic number, because the mean of its divisors is an integer number (959443380).

Almost surely, 2^229331042304 is an apocalyptic number.

229331042304 is a gapful number since it is divisible by the number (24) 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 229331042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414479540160).

229331042304 is an abundant number, since it is smaller than the sum of its proper divisors (599628038016).

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

229331042304 is an equidigital number, since it uses as much as digits as its factorization.

229331042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 229331042304 in words is "two hundred twenty-nine billion, three hundred thirty-one million, forty-two thousand, three hundred four".