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230980365 = 325721189107
BaseRepresentation
bin11011100010001…
…11101100001101
3121002122000111100
431301013230031
5433112332430
634530413313
75503205100
oct1561075415
9532560440
10230980365
11109422a70
1265431239
1338b13595
1422968737
1515428960
hexdc47b0d

230980365 has 144 divisors (see below), whose sum is σ = 518581440. Its totient is φ = 94026240.

The previous prime is 230980357. The next prime is 230980433. The reversal of 230980365 is 563089032.

It is not a de Polignac number, because 230980365 - 23 = 230980357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2158642 + ... + 2158748.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2230980365 is an apocalyptic number.

It is an amenable number.

230980365 is an abundant number, since it is smaller than the sum of its proper divisors (287601075).

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

230980365 is a wasteful number, since it uses less digits than its factorization.

230980365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230980365 is about 15198.0381957672. The cubic root of 230980365 is about 613.5618587284.

The spelling of 230980365 in words is "two hundred thirty million, nine hundred eighty thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 89 99 105 107 147 165 231 245 267 315 321 385 441 445 495 535 539 623 693 735 749 801 963 979 1155 1177 1335 1605 1617 1869 2205 2247 2695 2937 3115 3465 3531 3745 4005 4361 4815 4851 4895 5243 5607 5885 6741 6853 8085 8239 8811 9345 9523 10593 11235 13083 14685 15729 17655 20559 21805 24255 24717 26215 28035 28569 33705 34265 39249 41195 44055 47187 47615 47971 52965 57673 61677 65415 66661 74151 78645 85707 102795 104753 123585 142845 143913 173019 196245 199983 235935 239855 288365 308385 314259 333305 370755 428535 431739 466627 519057 523765 599949 719565 733271 865095 942777 999915 1399881 1571295 2158695 2199813 2333135 2595285 2999745 3666355 4199643 4713885 5132897 6599439 6999405 10999065 15398691 20998215 25664485 32997195 46196073 76993455 230980365