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2243323211112 = 233366124476421
BaseRepresentation
bin100000101001010000011…
…110111010110101101000
321221110102001101200121000
4200221100132322311220
5243223311220223422
64434322441515000
7321034432450014
oct40512036726550
97843361350530
102243323211112
1179542a518795
123029304a2a60
13133710283cb9
147a81263b544
153d549a73cac
hex20a507bad68

2243323211112 has 128 divisors (see below), whose sum is σ = 6244403443200. Its totient is φ = 746221766400.

The previous prime is 2243323211093. The next prime is 2243323211117. The reversal of 2243323211112 is 2111123233422.

2243323211112 is a `hidden beast` number, since 2 + 2 + 4 + 332 + 3 + 211 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2243323211117) 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 31 ways as a sum of consecutive naturals, for example, 349369662 + ... + 349376082.

It is an arithmetic number, because the mean of its divisors is an integer number (48784401900).

Almost surely, 22243323211112 is an apocalyptic number.

It is an amenable number.

2243323211112 is an abundant number, since it is smaller than the sum of its proper divisors (4001080232088).

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

2243323211112 is a wasteful number, since it uses less digits than its factorization.

2243323211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9534 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 2243323211112 its reverse (2111123233422), we get a palindrome (4354446444534).

The spelling of 2243323211112 in words is "two trillion, two hundred forty-three billion, three hundred twenty-three million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 661 1322 1983 2447 2644 3966 4894 5288 5949 6421 7341 7932 9788 11898 12842 14682 15864 17847 19263 19576 22023 23796 25684 29364 35694 38526 44046 47592 51368 57789 58728 66069 71388 77052 88092 115578 132138 142776 154104 173367 176184 231156 264276 346734 462312 528552 693468 1386936 1617467 3234934 4244281 4852401 6469868 8488562 9704802 12732843 12939736 14557203 15712187 16977124 19409604 25465686 29114406 31424374 33954248 38198529 38819208 43671609 47136561 50931372 58228812 62848748 76397058 87343218 94273122 101862744 114595587 116457624 125697496 141409683 152794116 174686436 188546244 229191174 282819366 305588232 349372872 377092488 424229049 458382348 565638732 848458098 916764696 1131277464 1696916196 3393832392 10385755607 20771511214 31157266821 41543022428 62314533642 83086044856 93471800463 124629067284 186943600926 249258134568 280415401389 373887201852 560830802778 747774403704 1121661605556 2243323211112