229840 has 60 divisors (see below), whose sum is σ = 612684. Its totient is φ = 79872.

The previous prime is 229837. The next prime is 229841. The reversal of 229840 is 48922.

229840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21904 + 207936 = 148^2 + 456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13512 + ... + 13528.

2²²⁹⁸⁴⁰ is an apocalyptic number.

229840 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 229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306342).

229840 is an abundant number, since it is smaller than the sum of its proper divisors (382844).

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

229840 is a wasteful number, since it uses less digits than its factorization.

229840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 229840 is about 479.4163117792. The cubic root of 229840 is about 61.2550460927.

The spelling of 229840 in words is "two hundred twenty-nine thousand, eight hundred forty".