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230539680 = 25325722871
BaseRepresentation
bin11011011110111…
…00000110100000
3121001210121222200
431233130012200
5433004232210
634513133200
75466361230
oct1557340640
9531717880
10230539680
11109151968
126525a200
13389bab17
1422891cc0
151538d0c0
hexdbdc1a0

230539680 has 144 divisors (see below), whose sum is σ = 899144064. Its totient is φ = 52692480.

The previous prime is 230539667. The next prime is 230539693. The reversal of 230539680 is 86935032.

230539680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230539667) and next prime (230539693).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1356 + ... + 21515.

It is an arithmetic number, because the mean of its divisors is an integer number (6244056).

Almost surely, 2230539680 is an apocalyptic number.

230539680 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 230539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449572032).

230539680 is an abundant number, since it is smaller than the sum of its proper divisors (668604384).

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

230539680 is a wasteful number, since it uses less digits than its factorization.

230539680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22899 (or 22888 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230539680 is about 15183.5331856587. The cubic root of 230539680 is about 613.1714075794.

The spelling of 230539680 in words is "two hundred thirty million, five hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 22871 45742 68613 91484 114355 137226 160097 182968 205839 228710 274452 320194 343065 365936 411678 457420 480291 548904 640388 686130 731872 800485 823356 914840 960582 1029195 1097808 1280776 1372260 1440873 1600970 1646712 1829680 1921164 2058390 2195616 2401455 2561552 2744520 2881746 3201940 3293424 3659360 3842328 4116780 4802910 5123104 5489040 5763492 6403880 6586848 7204365 7684656 8233560 9605820 10978080 11526984 12807760 14408730 15369312 16467120 19211640 23053968 25615520 28817460 32934240 38423280 46107936 57634920 76846560 115269840 230539680