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230538 = 23711499
BaseRepresentation
bin111000010010001010
3102201020110
4320102022
524334123
64535150
71650060
oct702212
9381213
10230538
11148230
12b14b6
1380c19
1460030
1548493
hex3848a

230538 has 32 divisors (see below), whose sum is σ = 576000. Its totient is φ = 59760.

The previous prime is 230507. The next prime is 230539. The reversal of 230538 is 835032.

230538 = 122 + 132 + ... + 882.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (230539) by changing a digit.

230538 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2230538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

230538 is an abundant number, since it is smaller than the sum of its proper divisors (345462).

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

230538 is a wasteful number, since it uses less digits than its factorization.

230538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 230538 is about 480.1437284814. The cubic root of 230538 is about 61.3169918132.

The spelling of 230538 in words is "two hundred thirty thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 499 998 1497 2994 3493 5489 6986 10479 10978 16467 20958 32934 38423 76846 115269 230538