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230160 = 24357137
BaseRepresentation
bin111000001100010000
3102200201110
4320030100
524331120
64533320
71646010
oct701420
9380643
10230160
11147a17
12b1240
13809b8
145dc40
15482e0
hex38310

230160 has 80 divisors (see below), whose sum is σ = 821376. Its totient is φ = 52224.

The previous prime is 230149. The next prime is 230189. The reversal of 230160 is 61032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

230160 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 15 ways as a sum of consecutive naturals, for example, 1612 + ... + 1748.

2230160 is an apocalyptic number.

230160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410688).

230160 is an abundant number, since it is smaller than the sum of its proper divisors (591216).

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

230160 is a wasteful number, since it uses less digits than its factorization.

230160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230160 is about 479.7499348619. The cubic root of 230160 is about 61.2834608230.

Adding to 230160 its reverse (61032), we get a palindrome (291192).

The spelling of 230160 in words is "two hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 137 140 168 210 240 274 280 336 411 420 548 560 685 822 840 959 1096 1370 1644 1680 1918 2055 2192 2740 2877 3288 3836 4110 4795 5480 5754 6576 7672 8220 9590 10960 11508 14385 15344 16440 19180 23016 28770 32880 38360 46032 57540 76720 115080 230160