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2313334140 = 22351316691777
BaseRepresentation
bin1000100111100010…
…1010110101111100
312222012221112212020
42021320222311330
514214203143030
61021314440140
7111220005255
oct21170526574
95865845766
102313334140
11a878a91a7
12546893050
132ab363490
1417d33db2c
15d8157510
hex89e2ad7c

2313334140 has 96 divisors (see below), whose sum is σ = 6983699520. Its totient is φ = 568774656.

The previous prime is 2313334139. The next prime is 2313334183. The reversal of 2313334140 is 414333132.

It is a self number, because there is not a number n which added to its sum of digits gives 2313334140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300932 + ... + 1302708.

It is an arithmetic number, because the mean of its divisors is an integer number (72746870).

Almost surely, 22313334140 is an apocalyptic number.

2313334140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491849760).

2313334140 is an abundant number, since it is smaller than the sum of its proper divisors (4670365380).

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

2313334140 is a wasteful number, since it uses less digits than its factorization.

2313334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2313334140 is about 48097.1323469498. The cubic root of 2313334140 is about 1322.5520988430.

Adding to 2313334140 its reverse (414333132), we get a palindrome (2727667272).

The spelling of 2313334140 in words is "two billion, three hundred thirteen million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1669 1777 3338 3554 5007 5331 6676 7108 8345 8885 10014 10662 16690 17770 20028 21324 21697 23101 25035 26655 33380 35540 43394 46202 50070 53310 65091 69303 86788 92404 100140 106620 108485 115505 130182 138606 216970 231010 260364 277212 325455 346515 433940 462020 650910 693030 1301820 1386060 2965813 5931626 8897439 11863252 14829065 17794878 29658130 35589756 38555569 44487195 59316260 77111138 88974390 115666707 154222276 177948780 192777845 231333414 385555690 462666828 578333535 771111380 1156667070 2313334140