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230464710 = 23357611999
BaseRepresentation
bin11011011110010…
…01110011000110
3121001122211011000
431233021303012
5432444332320
634511354130
75465626530
oct1557116306
9531584130
10230464710
11109100603
1265222946
1338992968
1422872850
1515375c90
hexdbc9cc6

230464710 has 128 divisors (see below), whose sum is σ = 714240000. Its totient is φ = 51788160.

The previous prime is 230464709. The next prime is 230464721. The reversal of 230464710 is 17464032.

230464710 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 647 + 10 = 666.

It is a super-3 number, since 3×2304647103 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114291 + ... + 116289.

It is an arithmetic number, because the mean of its divisors is an integer number (5580000).

Almost surely, 2230464710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230464710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120000).

230464710 is an abundant number, since it is smaller than the sum of its proper divisors (483775290).

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

230464710 is a wasteful number, since it uses less digits than its factorization.

230464710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

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

The square root of 230464710 is about 15181.0641919465. The cubic root of 230464710 is about 613.1049339261.

The spelling of 230464710 in words is "two hundred thirty million, four hundred sixty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 183 189 210 270 305 315 366 378 427 549 610 630 854 915 945 1098 1281 1647 1830 1890 1999 2135 2562 2745 3294 3843 3998 4270 5490 5997 6405 7686 8235 9995 11529 11994 12810 13993 16470 17991 19215 19990 23058 27986 29985 35982 38430 41979 53973 57645 59970 69965 83958 89955 107946 115290 121939 125937 139930 179910 209895 243878 251874 269865 365817 377811 419790 539730 609695 629685 731634 755622 853573 1097451 1219390 1259370 1707146 1829085 1889055 2194902 2560719 3292353 3658170 3778110 4267865 5121438 5487255 6584706 7682157 8535730 10974510 12803595 15364314 16461765 23046471 25607190 32923530 38410785 46092942 76821570 115232355 230464710