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230191920 = 24325745673
BaseRepresentation
bin11011011100001…
…11001100110000
3121001010221221200
431232013030300
5432412120140
634501451200
75463412320
oct1556071460
9531127850
10230191920
11108a34662
1265110b00
13388c874a
1422801280
1515320030
hexdb87330

230191920 has 120 divisors (see below), whose sum is σ = 883517856. Its totient is φ = 52614144.

The previous prime is 230191903. The next prime is 230191933. The reversal of 230191920 is 29191032.

230191920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 16.

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, 17797 + ... + 27876.

Almost surely, 2230191920 is an apocalyptic number.

230191920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230191920 is an abundant number, since it is smaller than the sum of its proper divisors (653325936).

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

230191920 is a wasteful number, since it uses less digits than its factorization.

230191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45699 (or 45690 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 230191920 is about 15172.0769837224. The cubic root of 230191920 is about 612.8629374739.

The spelling of 230191920 in words is "two hundred thirty million, one hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 45673 91346 137019 182692 228365 274038 319711 365384 411057 456730 548076 639422 685095 730768 822114 913460 959133 1096152 1278844 1370190 1598555 1644228 1826920 1918266 2055285 2192304 2557688 2740380 2877399 3197110 3288456 3653840 3836532 4110570 4795665 5115376 5480760 5754798 6394220 6576912 7673064 8221140 9591330 10961520 11509596 12788440 14386995 15346128 16442280 19182660 23019192 25576880 28773990 32884560 38365320 46038384 57547980 76730640 115095960 230191920