229824 has 112 divisors (see below), whose sum is σ = 812800. Its totient is φ = 62208.

The previous prime is 229819. The next prime is 229837. The reversal of 229824 is 428922.

229824 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12087 + ... + 12105.

2²²⁹⁸²⁴ is an apocalyptic number.

229824 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 229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406400).

229824 is an abundant number, since it is smaller than the sum of its proper divisors (582976).

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

229824 is a wasteful number, since it uses less digits than its factorization.

229824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 31 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 229824 is about 479.3996245305. The cubic root of 229824 is about 61.2536246640.

The spelling of 229824 in words is "two hundred twenty-nine thousand, eight hundred twenty-four".