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22322132112 = 2437536120549
BaseRepresentation
bin10100110010100000…
…001011010010010000
32010121200000210122210
4110302200023102100
5331203431211422
614131000432120
71420106664240
oct246240132220
963550023583
1022322132112
119515297275
1243ab778640
1321497cb7c7
14111a875b20
158a9a6010c
hex53280b490

22322132112 has 160 divisors (see below), whose sum is σ = 68250988800. Its totient is φ = 6154536960.

The previous prime is 22322132071. The next prime is 22322132123. The reversal of 22322132112 is 21123122322.

It is a super-3 number, since 3×223221321123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076014 + ... + 1096562.

It is an arithmetic number, because the mean of its divisors is an integer number (426568680).

Almost surely, 222322132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22322132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34125494400).

22322132112 is an abundant number, since it is smaller than the sum of its proper divisors (45928856688).

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

22322132112 is a wasteful number, since it uses less digits than its factorization.

22322132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20681 (or 20675 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 22322132112 its reverse (21123122322), we get a palindrome (43445254434).

The spelling of 22322132112 in words is "twenty-two billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 61 84 106 112 122 159 168 183 212 244 318 336 366 371 424 427 488 636 732 742 848 854 976 1113 1272 1281 1464 1484 1708 2226 2544 2562 2928 2968 3233 3416 4452 5124 5936 6466 6832 8904 9699 10248 12932 17808 19398 20496 20549 22631 25864 38796 41098 45262 51728 61647 67893 77592 82196 90524 123294 135786 143843 155184 164392 181048 246588 271572 287686 328784 362096 431529 493176 543144 575372 863058 986352 1086288 1089097 1150744 1253489 1726116 2178194 2301488 2506978 3267291 3452232 3760467 4356388 5013956 6534582 6904464 7520934 7623679 8712776 8774423 10027912 13069164 15041868 15247358 17425552 17548846 20055824 22871037 26138328 26323269 30083736 30494716 35097692 45742074 52276656 52646538 60167472 60989432 66434917 70195384 91484148 105293076 121978864 132869834 140390768 182968296 199304751 210586152 265739668 365936592 398609502 421172304 465044419 531479336 797219004 930088838 1062958672 1395133257 1594438008 1860177676 2790266514 3188876016 3720355352 5580533028 7440710704 11161066056 22322132112