229968960 has 112 divisors (see below), whose sum is σ = 786359616. Its totient is φ = 56604672.

The previous prime is 229968953. The next prime is 229968971. The reversal of 229968960 is 69869922.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3267 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (7021068).

Almost surely, 2^229968960 is an apocalyptic number.

229968960 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 229968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393179808).

229968960 is an abundant number, since it is smaller than the sum of its proper divisors (556390656).

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

229968960 is a wasteful number, since it uses less digits than its factorization.

229968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18460 (or 18450 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 229968960 is about 15164.7274950788. The cubic root of 229968960 is about 612.6650039969.

The spelling of 229968960 in words is "two hundred twenty-nine million, nine hundred sixty-eight thousand, nine hundred sixty".