229536 has 36 divisors (see below), whose sum is σ = 653562. Its totient is φ = 76416.

The previous prime is 229529. The next prime is 229547. The reversal of 229536 is 635922.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 32400 = 444^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111 + ... + 686.

2²²⁹⁵³⁶ 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 229536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326781).

229536 is an abundant number, since it is smaller than the sum of its proper divisors (424026).

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

229536 is a wasteful number, since it uses less digits than its factorization.

229536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 229536 is about 479.0991546643. The cubic root of 229536 is about 61.2280276595.

The spelling of 229536 in words is "two hundred twenty-nine thousand, five hundred thirty-six".