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230769 = 3471137
BaseRepresentation
bin111000010101110001
3102201120000
4320111301
524341034
64540213
71650540
oct702561
9381500
10230769
11148420
12b1669
1381066
1460157
1548599
hex38571

230769 has 40 divisors (see below), whose sum is σ = 441408. Its totient is φ = 116640.

The previous prime is 230767. The next prime is 230771. The reversal of 230769 is 967032.

230769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230767) and next prime (230771).

It is not a de Polignac number, because 230769 - 21 = 230767 is a prime.

It is a super-2 number, since 2×2307692 = 106508662722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6219 + ... + 6255.

2230769 is an apocalyptic number.

It is an amenable number.

230769 is a deficient number, since it is larger than the sum of its proper divisors (210639).

230769 is a wasteful number, since it uses less digits than its factorization.

230769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 230769 is about 480.3842212230. The cubic root of 230769 is about 61.3374649338.

It can be divided in two parts, 230 and 769, that added together give a palindrome (999).

The spelling of 230769 in words is "two hundred thirty thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 11 21 27 33 37 63 77 81 99 111 189 231 259 297 333 407 567 693 777 891 999 1221 2079 2331 2849 2997 3663 6237 6993 8547 10989 20979 25641 32967 76923 230769