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230358513 = 371129137251
BaseRepresentation
bin11011011101011…
…11110111110001
3121001110102110210
431232233313301
5432432433023
634505214333
75465005110
oct1556576761
9531412423
10230358513
11109038840
12651913a9
1338956518
1422845c77
1515354593
hexdbafdf1

230358513 has 64 divisors (see below), whose sum is σ = 400619520. Its totient is φ = 114240000.

The previous prime is 230358493. The next prime is 230358521. The reversal of 230358513 is 315853032.

It is not a de Polignac number, because 230358513 - 28 = 230358257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230358533) 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, 917638 + ... + 917888.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2230358513 is an apocalyptic number.

It is an amenable number.

230358513 is a deficient number, since it is larger than the sum of its proper divisors (170261007).

230358513 is a wasteful number, since it uses less digits than its factorization.

230358513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 230358513 is about 15177.5661092284. The cubic root of 230358513 is about 613.0107475493.

The spelling of 230358513 in words is "two hundred thirty million, three hundred fifty-eight thousand, five hundred thirteen".

Divisors: 1 3 7 11 21 29 33 77 87 137 203 231 251 319 411 609 753 957 959 1507 1757 2233 2761 2877 3973 4521 5271 6699 7279 8283 10549 11919 19327 21837 27811 31647 34387 43703 50953 57981 80069 83433 103161 131109 152859 240207 240709 305921 378257 560483 722127 917763 997223 1134771 1681449 2647799 2991669 6980561 7943397 10969453 20941683 32908359 76786171 230358513