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2312113232 = 24111373109127
BaseRepresentation
bin1000100111010000…
…0000110001010000
312222010122112002102
42021310000301100
514213400110412
61021232335532
7111203431622
oct21164006120
95863575072
102312113232
11a87144990
125463a45a8
132ab026850
1417d102c12
15d7eb58c2
hex89d00c50

2312113232 has 160 divisors (see below), whose sum is σ = 5426319360. Its totient is φ = 940584960.

The previous prime is 2312113231. The next prime is 2312113259. The reversal of 2312113232 is 2323112132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312113231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18205553 + ... + 18205679.

It is an arithmetic number, because the mean of its divisors is an integer number (33914496).

Almost surely, 22312113232 is an apocalyptic number.

2312113232 is a gapful number since it is divisible by the number (22) 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 2312113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713159680).

2312113232 is an abundant number, since it is smaller than the sum of its proper divisors (3114206128).

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

2312113232 is a wasteful number, since it uses less digits than its factorization.

2312113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 2312113232 is about 48084.4385638431. The cubic root of 2312113232 is about 1322.3193901940.

Adding to 2312113232 its reverse (2323112132), we get a palindrome (4635225364).

The spelling of 2312113232 in words is "two billion, three hundred twelve million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 73 88 104 109 127 143 146 176 208 218 254 286 292 436 508 572 584 803 872 949 1016 1144 1168 1199 1397 1417 1606 1651 1744 1898 2032 2288 2398 2794 2834 3212 3302 3796 4796 5588 5668 6424 6604 7592 7957 9271 9592 10439 11176 11336 12848 13208 13843 15184 15587 15914 18161 18542 19184 20878 22352 22672 26416 27686 31174 31828 36322 37084 41756 55372 62348 63656 72644 74168 83512 87527 101981 103441 110744 120523 124696 127312 145288 148336 152273 167024 175054 179959 203962 206882 221488 241046 249392 290576 304546 350108 359918 407924 413764 482092 609092 700216 719836 815848 827528 964184 1010539 1137851 1218184 1325753 1400432 1439672 1631696 1655056 1928368 1979549 2021078 2275702 2436368 2651506 2879344 3959098 4042156 4551404 5303012 7918196 8084312 9102808 10606024 11115929 13137007 15836392 16168624 18205616 21212048 22231858 26274014 31672784 44463716 52548028 88927432 105096056 144507077 177854864 210192112 289014154 578028308 1156056616 2312113232