Search a number
-
+
230430615615 = 34517311079629
BaseRepresentation
bin1101011010011010111…
…1000010100000111111
3211000210002212010110000
43112212233002200333
512233410214144430
6253505223445343
722435166625654
oct3264657024077
9730702763400
10230430615615
11897a8091102
12387aa8b6853
1318963984ac5
14b21d7bdc2b
155ed9cace60
hex35a6bc283f

230430615615 has 80 divisors (see below), whose sum is σ = 451475354880. Its totient is φ = 111935831040.

The previous prime is 230430615601. The next prime is 230430615619. The reversal of 230430615615 is 516516034032.

230430615615 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 30 + 6 + 1 + 5 + 615 = 666.

It is not a de Polignac number, because 230430615615 - 26 = 230430615551 is a prime.

It is a super-2 number, since 2×2304306156152 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230430615615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230430615619) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 326380 + ... + 753249.

It is an arithmetic number, because the mean of its divisors is an integer number (5643441936).

Almost surely, 2230430615615 is an apocalyptic number.

230430615615 is a deficient number, since it is larger than the sum of its proper divisors (221044739265).

230430615615 is a wasteful number, since it uses less digits than its factorization.

230430615615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079694 (or 1079685 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 230430615615 its reverse (516516034032), we get a palindrome (746946649647).

The spelling of 230430615615 in words is "two hundred thirty billion, four hundred thirty million, six hundred fifteen thousand, six hundred fifteen".

Divisors: 1 3 5 9 15 17 27 31 45 51 81 85 93 135 153 155 255 279 405 459 465 527 765 837 1377 1395 1581 2295 2511 2635 4185 4743 6885 7905 12555 14229 23715 42687 71145 213435 1079629 3238887 5398145 9716661 16194435 18353693 29149983 33468499 48583305 55061079 87449949 91768465 100405497 145749915 165183237 167342495 275305395 301216491 437249745 495549711 502027485 568964483 825916185 903649473 1486649133 1506082455 1706893449 2477748555 2710948419 2844822415 4518247365 5120680347 7433245665 8534467245 13554742095 15362041041 25603401735 46086123123 76810205205 230430615615