229320 has 144 divisors (see below), whose sum is σ = 933660. Its totient is φ = 48384.

The previous prime is 229309. The next prime is 229321. The reversal of 229320 is 23922.

229320 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 2 ways, for example, as 213444 + 15876 = 462^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 229293 and 229302.

It is not an unprimeable number, because it can be changed into a prime (229321) by changing a digit.

229320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17634 + ... + 17646.

2²²⁹³²⁰ is an apocalyptic number.

229320 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 229320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

229320 is an abundant number, since it is smaller than the sum of its proper divisors (704340).

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

229320 is a wasteful number, since it uses less digits than its factorization.

229320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 229320 is about 478.8736785416. The cubic root of 229320 is about 61.2088158516.

The spelling of 229320 in words is "two hundred twenty-nine thousand, three hundred twenty".