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230672 = 24131109
BaseRepresentation
bin111000010100010000
3102201102102
4320110100
524340142
64535532
71650341
oct702420
9381372
10230672
11148342
12b15a8
1380cc0
14600c8
1548532
hex38510

230672 has 20 divisors (see below), whose sum is σ = 481740. Its totient is φ = 106368.

The previous prime is 230663. The next prime is 230683. The reversal of 230672 is 276032.

230672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 215296 = 124^2 + 464^2 .

It is a d-powerful number, because it can be written as 215 + 310 + 65 + 0 + 7 + 217 .

It is an unprimeable number.

230672 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 3 ways as a sum of consecutive naturals, for example, 347 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (24087).

2230672 is an apocalyptic number.

It is an amenable number.

230672 is an abundant number, since it is smaller than the sum of its proper divisors (251068).

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

230672 is a wasteful number, since it uses less digits than its factorization.

230672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 230672 is about 480.2832497600. The cubic root of 230672 is about 61.3288696605.

The spelling of 230672 in words is "two hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1109 2218 4436 8872 14417 17744 28834 57668 115336 230672