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230353535205 = 365312120249
BaseRepresentation
bin1101011010001000100…
…1000000000011100101
3211000120201211001000000
43112202021000003211
512233231001111310
6253453431411513
722433242512513
oct3264211000345
9730521731000
10230353535205
1189768624492
1238788b23b99
1318950a075b1
14b2134774b3
155ed31344c0
hex35a22400e5

230353535205 has 56 divisors (see below), whose sum is σ = 414600039000. Its totient is φ = 122809789440.

The previous prime is 230353535173. The next prime is 230353535233. The reversal of 230353535205 is 502535353032.

230353535205 is a `hidden beast` number, since 2 + 30 + 3 + 53 + 53 + 520 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6126662529 + 224226872676 = 78273^2 + 473526^2 .

It is not a de Polignac number, because 230353535205 - 25 = 230353535173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230353535205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11365921 + ... + 11386169.

It is an arithmetic number, because the mean of its divisors is an integer number (7403572125).

Almost surely, 2230353535205 is an apocalyptic number.

It is an amenable number.

230353535205 is a deficient number, since it is larger than the sum of its proper divisors (184246503795).

230353535205 is an equidigital number, since it uses as much as digits as its factorization.

230353535205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23393 (or 23378 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 36.

Adding to 230353535205 its reverse (502535353032), we get a palindrome (732888888237).

The spelling of 230353535205 in words is "two hundred thirty billion, three hundred fifty-three million, five hundred thirty-five thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3121 3645 9363 15605 20249 28089 46815 60747 84267 101245 140445 182241 252801 303735 421335 546723 758403 911205 1264005 1640169 2275209 2733615 3792015 4920507 8200845 11376045 14761521 24602535 63197129 73807605 189591387 315985645 568774161 947956935 1706322483 2843870805 5118967449 8531612415 15356902347 25594837245 46070707041 76784511735 230353535205