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230292 = 22326397
BaseRepresentation
bin111000001110010100
3102200220100
4320032110
524332132
64534100
71646256
oct701624
9380810
10230292
11148027
12b1330
1380a8a
145dcd6
154837c
hex38394

230292 has 18 divisors (see below), whose sum is σ = 582218. Its totient is φ = 76752.

The previous prime is 230291. The next prime is 230303. The reversal of 230292 is 292032.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 104976 = 354^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 230292.

It is not an unprimeable number, because it can be changed into a prime (230291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3163 + ... + 3234.

2230292 is an apocalyptic number.

It is an amenable number.

230292 is an abundant number, since it is smaller than the sum of its proper divisors (351926).

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

230292 is a wasteful number, since it uses less digits than its factorization.

230292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 230292 is about 479.8874868133. The cubic root of 230292 is about 61.2951742265.

The spelling of 230292 in words is "two hundred thirty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 6397 12794 19191 25588 38382 57573 76764 115146 230292