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230544 = 24321601
BaseRepresentation
bin111000010010010000
3102201020200
4320102100
524334134
64535200
71650066
oct702220
9381220
10230544
11148236
12b1500
1380c22
1460036
1548499
hex38490

230544 has 30 divisors (see below), whose sum is σ = 645606. Its totient is φ = 76800.

The previous prime is 230539. The next prime is 230551. The reversal of 230544 is 445032.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 144 = 480^2 + 12^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 230544.

It is an unprimeable number.

230544 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 5 ways as a sum of consecutive naturals, for example, 657 + ... + 944.

2230544 is an apocalyptic number.

230544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230544 is an abundant number, since it is smaller than the sum of its proper divisors (415062).

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

230544 is a wasteful number, since it uses less digits than its factorization.

230544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230544 is about 480.1499765698. The cubic root of 230544 is about 61.3175237555.

Adding to 230544 its reverse (445032), we get a palindrome (675576).

The spelling of 230544 in words is "two hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1601 3202 4803 6404 9606 12808 14409 19212 25616 28818 38424 57636 76848 115272 230544