229329024 has 64 divisors (see below), whose sum is σ = 614856000. Its totient is φ = 75727872.

The previous prime is 229328999. The next prime is 229329043. The reversal of 229329024 is 420923922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 39117 + ... + 44595.

It is an arithmetic number, because the mean of its divisors is an integer number (9607125).

Almost surely, 2^229329024 is an apocalyptic number.

229329024 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 229329024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307428000).

229329024 is an abundant number, since it is smaller than the sum of its proper divisors (385526976).

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

229329024 is a wasteful number, since it uses less digits than its factorization.

229329024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 229329024 is about 15143.6133072659. The cubic root of 229329024 is about 612.0961871969.

The spelling of 229329024 in words is "two hundred twenty-nine million, three hundred twenty-nine thousand, twenty-four".