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230761305 = 37547449
BaseRepresentation
bin11011100000100…
…10001101011001
3121002012220000000
431300102031121
5433033330210
634522003213
75501303325
oct1560221531
9532186000
10230761305
11109293425
1265346509
1338a67968
142290c985
15153d3ac0
hexdc12359

230761305 has 64 divisors (see below), whose sum is σ = 425088000. Its totient is φ = 120185856.

The previous prime is 230761301. The next prime is 230761337. The reversal of 230761305 is 503167032.

It is a happy number.

It is not a de Polignac number, because 230761305 - 22 = 230761301 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230761301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513721 + ... + 514169.

It is an arithmetic number, because the mean of its divisors is an integer number (6642000).

Almost surely, 2230761305 is an apocalyptic number.

It is an amenable number.

230761305 is a deficient number, since it is larger than the sum of its proper divisors (194326695).

230761305 is an frugal number, since it uses more digits than its factorization.

230761305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 230761305 is about 15190.8296350134. The cubic root of 230761305 is about 613.3678315963.

The spelling of 230761305 in words is "two hundred thirty million, seven hundred sixty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 47 81 135 141 235 243 405 423 449 705 729 1215 1269 1347 2115 2187 2245 3645 3807 4041 6345 6735 10935 11421 12123 19035 20205 21103 34263 36369 57105 60615 63309 102789 105515 109107 171315 181845 189927 316545 327321 513945 545535 569781 949635 981963 1636605 1709343 2848905 4909815 5128029 8546715 15384087 25640145 46152261 76920435 230761305