229768 has 32 divisors (see below), whose sum is σ = 538560. Its totient is φ = 89280.

The previous prime is 229763. The next prime is 229769. The reversal of 229768 is 867922.

229768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (229763) by changing a digit.

229768 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, 430 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2²²⁹⁷⁶⁸ is an apocalyptic number.

229768 is a gapful number since it is divisible by the number (28) 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 229768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280).

229768 is an abundant number, since it is smaller than the sum of its proper divisors (308792).

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

229768 is a wasteful number, since it uses less digits than its factorization.

229768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 229768 is about 479.3412145852. The cubic root of 229768 is about 61.2486491442.

It can be divided in two parts, 2 and 29768, that multiplied together give a square (59536 = 244²).

The spelling of 229768 in words is "two hundred twenty-nine thousand, seven hundred sixty-eight".