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2322232321134 = 231132347268999
BaseRepresentation
bin100001110010101111110…
…101010010010001101110
322020000002100210210212110
4201302233311102101232
5301021412433234014
64534452505544450
7326530040020245
oct41625765222156
98200070723773
102322232321134
11815942672000
12316092aa5126
1313aca73a788b
148057a56995c
15406173aad59
hex21cafd5246e

2322232321134 has 128 divisors (see below), whose sum is σ = 5444112384000. Its totient is φ = 658786861920.

The previous prime is 2322232321127. The next prime is 2322232321187. The reversal of 2322232321134 is 4311232322232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8498367 + ... + 8767365.

It is an arithmetic number, because the mean of its divisors is an integer number (42532128000).

Almost surely, 22322232321134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322232321134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722056192000).

2322232321134 is an abundant number, since it is smaller than the sum of its proper divisors (3121880062866).

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

2322232321134 is a wasteful number, since it uses less digits than its factorization.

2322232321134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269107 (or 269085 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 2322232321134 its reverse (4311232322232), we get a palindrome (6633464643366).

The spelling of 2322232321134 in words is "two trillion, three hundred twenty-two billion, two hundred thirty-two million, three hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 47 66 69 94 121 138 141 242 253 282 363 506 517 726 759 1034 1081 1331 1518 1551 2162 2662 2783 3102 3243 3993 5566 5687 6486 7986 8349 11374 11891 16698 17061 23782 30613 34122 35673 61226 62557 71346 91839 125114 130801 183678 187671 261602 268999 375342 392403 537998 784806 806997 1438811 1613994 2877622 2958989 4316433 5917978 6186977 8632866 8876967 12373954 12642953 17753934 18560931 25285906 32548879 37121862 37928859 65097758 68056747 75857718 97646637 136113494 139072483 195293274 204170241 278144966 290787919 358037669 408340482 417217449 581575838 716075338 748624217 834434898 872363757 1074113007 1497248434 1529797313 1744727514 2148226014 2245872651 3059594626 3198667109 4491745302 4589391939 6397334218 8234866387 9178783878 9596001327 16469732774 16827770443 19192002654 24704599161 33655540886 35185338199 49409198322 50483311329 70370676398 100966622658 105556014597 211112029194 387038720189 774077440378 1161116160567 2322232321134