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2304221403414 = 237192593256279
BaseRepresentation
bin100001100001111110010…
…011000101100100010110
322011021121011002101112210
4201201332103011210112
5300223021134402124
64522313353254250
7325321516524120
oct41417623054426
98137534071483
102304221403414
1180923aa02a37
123126a7104386
13139396b23b08
147d74c4da210
153ee11097a29
hex2187e4c5916

2304221403414 has 96 divisors (see below), whose sum is σ = 5567976184320. Its totient is φ = 622644827904.

The previous prime is 2304221403409. The next prime is 2304221403467. The reversal of 2304221403414 is 4143041224032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8862927 + ... + 9119205.

It is an arithmetic number, because the mean of its divisors is an integer number (57999751920).

Almost surely, 22304221403414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304221403414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783988092160).

2304221403414 is an abundant number, since it is smaller than the sum of its proper divisors (3263754780906).

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

2304221403414 is a wasteful number, since it uses less digits than its factorization.

2304221403414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256922 (or 256903 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2304221403414 its reverse (4143041224032), we get a palindrome (6447262627446).

The spelling of 2304221403414 in words is "two trillion, three hundred four billion, two hundred twenty-one million, four hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 593 722 798 1083 1186 1779 2166 2527 3558 4151 5054 7581 8302 11267 12453 15162 22534 24906 33801 67602 78869 157738 214073 236607 256279 428146 473214 512558 642219 768837 1284438 1498511 1537674 1793953 2997022 3587906 4495533 4869301 5381859 8991066 9738602 10763718 14607903 29215806 34085107 68170214 92516719 102255321 151973447 185033438 204510642 277550157 303946894 455920341 555100314 647617033 911840682 1063814129 1295234066 1942851099 2127628258 2887495493 3191442387 3885702198 5774990986 6382884774 8662486479 17324972958 20212468451 40424936902 54862414367 60637405353 109724828734 121274810706 164587243101 329174486202 384036900569 768073801138 1152110701707 2304221403414