229296 has 40 divisors (see below), whose sum is σ = 629424. Its totient is φ = 71680.

The previous prime is 229283. The next prime is 229309. The reversal of 229296 is 692922.

It is an interprime number because it is at equal distance from previous prime (229283) and next prime (229309).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

229296 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 7 ways as a sum of consecutive naturals, for example, 676 + ... + 956.

2²²⁹²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314712).

229296 is an abundant number, since it is smaller than the sum of its proper divisors (400128).

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

229296 is a wasteful number, since it uses less digits than its factorization.

229296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 229296 is about 478.8486190854. The cubic root of 229296 is about 61.2066804617.

It can be divided in two parts, 229 and 296, that added together give a palindrome (525).

The spelling of 229296 in words is "two hundred twenty-nine thousand, two hundred ninety-six".