229264 has 40 divisors (see below), whose sum is σ = 535680. Its totient is φ = 92928.

The previous prime is 229261. The next prime is 229267. The reversal of 229264 is 462922.

It is an interprime number because it is at equal distance from previous prime (229261) and next prime (229267).

It is not an unprimeable number, because it can be changed into a prime (229261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2532 + ... + 2620.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2²²⁹²⁶⁴ 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 229264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

229264 is an abundant number, since it is smaller than the sum of its proper divisors (306416).

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

229264 is a wasteful number, since it uses less digits than its factorization.

229264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 229264 is about 478.8152044370. The cubic root of 229264 is about 61.2038330434.

The spelling of 229264 in words is "two hundred twenty-nine thousand, two hundred sixty-four".