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230005230 = 235713173487
BaseRepresentation
bin11011011010110…
…01100111101110
3121000210110212020
431231121213232
5432340131410
634453451010
75462004120
oct1555314756
9530713766
10230005230
11108917374
1265040a66
1338861790
1422793210
15152d4a70
hexdb599ee

230005230 has 128 divisors (see below), whose sum is σ = 684730368. Its totient is φ = 48148992.

The previous prime is 230005229. The next prime is 230005231. The reversal of 230005230 is 32500032.

It is an interprime number because it is at equal distance from previous prime (230005229) and next prime (230005231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230005231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472047 + ... + 472533.

It is an arithmetic number, because the mean of its divisors is an integer number (5349456).

Almost surely, 2230005230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230005230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342365184).

230005230 is an abundant number, since it is smaller than the sum of its proper divisors (454725138).

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

230005230 is a wasteful number, since it uses less digits than its factorization.

230005230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 230005230 is about 15165.9233151167. The cubic root of 230005230 is about 612.6972115197.

Adding to 230005230 its reverse (32500032), we get a palindrome (262505262).

The spelling of 230005230 in words is "two hundred thirty million, five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 173 182 195 210 273 346 390 455 487 519 546 865 910 974 1038 1211 1365 1461 1730 2249 2422 2435 2595 2730 2922 3409 3633 4498 4870 5190 6055 6331 6747 6818 7266 7305 10227 11245 12110 12662 13494 14610 15743 17045 18165 18993 20454 22490 31486 31655 33735 34090 36330 37986 44317 47229 51135 63310 67470 78715 84251 88634 94458 94965 102270 132951 157430 168502 189930 221585 236145 252753 265902 421255 443170 472290 505506 589757 664755 842510 1095263 1179514 1263765 1329510 1769271 2190526 2527530 2948785 3285789 3538542 5476315 5897570 6571578 7666841 8846355 10952630 15333682 16428945 17692710 23000523 32857890 38334205 46001046 76668410 115002615 230005230