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2143332226260 = 22325173241728477
BaseRepresentation
bin11111001100001000100…
…011100101010011010100
321120220022111201100210200
4133030020203211103110
5240104021022220020
64320344440020500
7310564525216521
oct37141043452324
97526274640720
102143332226260
11756a8918a925
122a7485761730
131271665aca84
1475a48886148
153ab4651a590
hex1f3088e54d4

2143332226260 has 144 divisors (see below), whose sum is σ = 6541956819216. Its totient is φ = 567996420096.

The previous prime is 2143332226237. The next prime is 2143332226261. The reversal of 2143332226260 is 626222333412.

2143332226260 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 3 + 3 + 2 + 22 + 626 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 408558742596 + 1734773483664 = 639186^2 + 1317108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143332226261) by changing a digit.

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, 75251142 + ... + 75279618.

It is an arithmetic number, because the mean of its divisors is an integer number (45430255689).

Almost surely, 22143332226260 is an apocalyptic number.

2143332226260 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 2143332226260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270978409608).

2143332226260 is an abundant number, since it is smaller than the sum of its proper divisors (4398624592956).

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

2143332226260 is a wasteful number, since it uses less digits than its factorization.

2143332226260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31082 (or 31077 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2143332226260 its reverse (626222333412), we get a palindrome (2769554559672).

The spelling of 2143332226260 in words is "two trillion, one hundred forty-three billion, three hundred thirty-two million, two hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2417 2595 3114 3460 4834 5190 6228 7251 7785 9668 10380 12085 14502 15570 21753 24170 28477 29004 31140 36255 43506 48340 56954 72510 85431 87012 108765 113908 142385 145020 170862 217530 256293 284770 341724 418141 427155 435060 512586 569540 836282 854310 1025172 1254423 1281465 1672564 1708620 2090705 2508846 2562930 3763269 4181410 4926521 5017692 5125860 6272115 7526538 8362820 9853042 12544230 14779563 15053076 18816345 19706084 24632605 25088460 29559126 37632690 44338689 49265210 59118252 68828909 73897815 75265380 88677378 98530420 137657818 147795630 177354756 206486727 221693445 275315636 295591260 344144545 412973454 443386890 619460181 688289090 825946908 886773780 1032433635 1238920362 1376578180 2064867270 2477840724 3097300905 4129734540 6194601810 11907401257 12389203620 23814802514 35722203771 47629605028 59537006285 71444407542 107166611313 119074012570 142888815084 178611018855 214333222626 238148025140 357222037710 428666445252 535833056565 714444075420 1071666113130 2143332226260