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230318760 = 233571914431
BaseRepresentation
bin11011011101001…
…10001010101000
3121001101101221110
431232212022220
5432430200020
634504310320
75464451160
oct1556461250
9531341843
10230318760
11109010991
12651723a0
13389413b9
14228355a0
15153478e0
hexdba62a8

230318760 has 128 divisors (see below), whose sum is σ = 831283200. Its totient is φ = 49870080.

The previous prime is 230318749. The next prime is 230318773. The reversal of 230318760 is 67813032.

230318760 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8745 + ... + 23175.

It is an arithmetic number, because the mean of its divisors is an integer number (6494400).

Almost surely, 2230318760 is an apocalyptic number.

230318760 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 230318760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415641600).

230318760 is an abundant number, since it is smaller than the sum of its proper divisors (600964440).

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

230318760 is a wasteful number, since it uses less digits than its factorization.

230318760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14471 (or 14467 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 230318760 is about 15176.2564553977. The cubic root of 230318760 is about 612.9754830713.

The spelling of 230318760 in words is "two hundred thirty million, three hundred eighteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 14431 15960 28862 43293 57724 72155 86586 101017 115448 144310 173172 202034 216465 274189 288620 303051 346344 404068 432930 505085 548378 577240 606102 808136 822567 865860 1010170 1096756 1212204 1370945 1515255 1645134 1731720 1919323 2020340 2193512 2424408 2741890 3030510 3290268 3838646 4040680 4112835 5483780 5757969 6061020 6580536 7677292 8225670 9596615 10967560 11515938 12122040 15354584 16451340 19193230 23031876 28789845 32902680 38386460 46063752 57579690 76772920 115159380 230318760