Search a number
-
+
230880960 = 2632580167
BaseRepresentation
bin11011100001011…
…11011011000000
3121002102222010200
431300233123000
5433101142320
634524325200
75502312222
oct1560573300
9532388120
10230880960
11109365312
12653a3800
1338aaa26b
1422940412
1515409290
hexdc2f6c0

230880960 has 84 divisors (see below), whose sum is σ = 794144208. Its totient is φ = 61567488.

The previous prime is 230880959. The next prime is 230880971. The reversal of 230880960 is 69088032.

230880960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37204 + ... + 42963.

Almost surely, 2230880960 is an apocalyptic number.

230880960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230880960 is an abundant number, since it is smaller than the sum of its proper divisors (563263248).

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

230880960 is a wasteful number, since it uses less digits than its factorization.

230880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80190 (or 80177 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 230880960 is about 15194.7675204328. The cubic root of 230880960 is about 613.4738283481.

The spelling of 230880960 in words is "two hundred thirty million, eight hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 80167 160334 240501 320668 400835 481002 641336 721503 801670 962004 1202505 1282672 1443006 1603340 1924008 2405010 2565344 2886012 3206680 3607515 3848016 4810020 5130688 5772024 6413360 7215030 7696032 9620040 11544048 12826720 14430060 15392064 19240080 23088096 25653440 28860120 38480160 46176192 57720240 76960320 115440480 230880960