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230476140 = 2232517109691
BaseRepresentation
bin11011011110011…
…00100101101100
3121001200101211100
431233030211230
5433000214030
634511523100
75466005046
oct1557144554
9531611740
10230476140
11109109154
1265229490
1338997c1b
1422876a96
1515379360
hexdbcc96c

230476140 has 144 divisors (see below), whose sum is σ = 748107360. Its totient is φ = 57231360.

The previous prime is 230476133. The next prime is 230476177. The reversal of 230476140 is 41674032.

230476140 is a `hidden beast` number, since 2 + 3 + 0 + 47 + 614 + 0 = 666.

It is a super-2 number, since 2×2304761402 = 106238502218599200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333195 + ... + 333885.

It is an arithmetic number, because the mean of its divisors is an integer number (5195190).

Almost surely, 2230476140 is an apocalyptic number.

230476140 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 230476140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374053680).

230476140 is an abundant number, since it is smaller than the sum of its proper divisors (517631220).

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

230476140 is a wasteful number, since it uses less digits than its factorization.

230476140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230476140 is about 15181.4406431010. The cubic root of 230476140 is about 613.1150694960.

The spelling of 230476140 in words is "two hundred thirty million, four hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 109 153 170 180 204 218 255 306 327 340 436 510 545 612 654 691 765 981 1020 1090 1308 1382 1530 1635 1853 1962 2073 2180 2764 3060 3270 3455 3706 3924 4146 4905 5559 6219 6540 6910 7412 8292 9265 9810 10365 11118 11747 12438 13820 16677 18530 19620 20730 22236 23494 24876 27795 31095 33354 35241 37060 41460 46988 55590 58735 62190 66708 70482 75319 83385 105723 111180 117470 124380 140964 150638 166770 176205 211446 225957 234940 301276 333540 352410 376595 422892 451914 528615 677871 704820 753190 903828 1057230 1129785 1280423 1355742 1506380 2114460 2259570 2560846 2711484 3389355 3841269 4519140 5121692 6402115 6778710 7682538 11523807 12804230 13557420 15365076 19206345 23047614 25608460 38412690 46095228 57619035 76825380 115238070 230476140