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2312204316 = 22319312771181
BaseRepresentation
bin1000100111010001…
…0111000000011100
312222010211011000220
42021310113000130
514213411014231
61021234321340
7111204261312
oct21164270034
95863734026
102312204316
11a871a7364
12546429250
132ab059146
1417d1280b2
15d7ed2896
hex89d1701c

2312204316 has 96 divisors (see below), whose sum is σ = 5888440320. Its totient is φ = 703468800.

The previous prime is 2312204281. The next prime is 2312204317. The reversal of 2312204316 is 6134022132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312204317) 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 31 ways as a sum of consecutive naturals, for example, 1957246 + ... + 1958426.

It is an arithmetic number, because the mean of its divisors is an integer number (61337920).

Almost surely, 22312204316 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 2312204316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944220160).

2312204316 is an abundant number, since it is smaller than the sum of its proper divisors (3576236004).

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

2312204316 is a wasteful number, since it uses less digits than its factorization.

2312204316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2312204316 is about 48085.3856800588. The cubic root of 2312204316 is about 1322.3367538992.

Adding to 2312204316 its reverse (6134022132), we get a palindrome (8446226448).

The spelling of 2312204316 in words is "two billion, three hundred twelve million, two hundred four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 277 372 554 589 831 1108 1178 1181 1662 1767 2356 2362 3324 3534 3543 4724 5263 7068 7086 8587 10526 14172 15789 17174 21052 22439 25761 31578 34348 36611 44878 51522 63156 67317 73222 89756 103044 109833 134634 146444 163153 219666 269268 326306 327137 439332 489459 652612 654274 695609 978918 981411 1308548 1391218 1957836 1962822 2086827 2782436 3925644 4173654 6215603 8347308 10141247 12431206 18646809 20282494 24862412 30423741 37293618 40564988 60847482 74587236 121694964 192683693 385367386 578051079 770734772 1156102158 2312204316