Search a number
-
+
230320562304 = 273785684733
BaseRepresentation
bin1101011010000000101…
…1001110000010000000
3211000111102202211200110
43112200023032002000
512233144030443204
6253450252551320
722432362322560
oct3264013160200
9730442684613
10230320562304
1189750a53458
1238779a82540
1318946c313c1
14b20cd32da0
155ed02be889
hex35a02ce080

230320562304 has 64 divisors (see below), whose sum is σ = 699187429440. Its totient is φ = 65805874176.

The previous prime is 230320562299. The next prime is 230320562309. The reversal of 230320562304 is 403265023032.

It is an interprime number because it is at equal distance from previous prime (230320562299) and next prime (230320562309).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2303205623042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230320562309) 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 7 ways as a sum of consecutive naturals, for example, 42839679 + ... + 42845054.

It is an arithmetic number, because the mean of its divisors is an integer number (10924803585).

Almost surely, 2230320562304 is an apocalyptic number.

230320562304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230320562304 is an abundant number, since it is smaller than the sum of its proper divisors (468866867136).

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

230320562304 is an equidigital number, since it uses as much as digits as its factorization.

230320562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85684757 (or 85684745 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 230320562304 its reverse (403265023032), we get a palindrome (633585585336).

The spelling of 230320562304 in words is "two hundred thirty billion, three hundred twenty million, five hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 85684733 171369466 257054199 342738932 514108398 599793131 685477864 1028216796 1199586262 1370955728 1799379393 2056433592 2399172524 2741911456 3598758786 4112867184 4798345048 5483822912 7197517572 8225734368 9596690096 10967645824 14395035144 16451468736 19193380192 28790070288 32902937472 38386760384 57580140576 76773520768 115160281152 230320562304