Search a number
-
+
230200200336 = 24361193407359
BaseRepresentation
bin1101011001100100000…
…0000100110010010000
3211000012001021211002210
43112121000010302100
512232422222402321
6253430313112120
722426401263211
oct3263100046220
9730161254083
10230200200336
118969a014757
12387456b8640
131892800b7c2
14b1dad61408
155ec4946b76
hex3599004c90

230200200336 has 80 divisors (see below), whose sum is σ = 607566033920. Its totient is φ = 75084226560.

The previous prime is 230200200331. The next prime is 230200200337. The reversal of 230200200336 is 633002002032.

It is not an unprimeable number, because it can be changed into a prime (230200200331) 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 15 ways as a sum of consecutive naturals, for example, 361425 + ... + 768783.

It is an arithmetic number, because the mean of its divisors is an integer number (7594575424).

Almost surely, 2230200200336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230200200336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303783016960).

230200200336 is an abundant number, since it is smaller than the sum of its proper divisors (377365833584).

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

230200200336 is a wasteful number, since it uses less digits than its factorization.

230200200336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407624 (or 407618 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230200200336 its reverse (633002002032), we get a palindrome (863202202368).

The spelling of 230200200336 in words is "two hundred thirty billion, two hundred million, two hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 193 244 366 386 488 579 732 772 976 1158 1464 1544 2316 2928 3088 4632 9264 11773 23546 35319 47092 70638 94184 141276 188368 282552 407359 565104 814718 1222077 1629436 2444154 3258872 4888308 6517744 9776616 19553232 24848899 49697798 74546697 78620287 99395596 149093394 157240574 198791192 235860861 298186788 314481148 397582384 471721722 596373576 628962296 943443444 1192747152 1257924592 1886886888 3773773776 4795837507 9591675014 14387512521 19183350028 28775025042 38366700056 57550050084 76733400112 115100100168 230200200336