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22312122312 = 23329791792267
BaseRepresentation
bin10100110001111001…
…111111011111001000
32010120222012020210110
4110301321333133020
5331143400403222
614130002114320
71416625624164
oct246171773710
963528166713
1022312122312
11950a67a807
1243a834b9a0
13214770564c
1411193cbca4
158a8c3430c
hex531e7f7c8

22312122312 has 128 divisors (see below), whose sum is σ = 58786560000. Its totient is φ = 7047296256.

The previous prime is 22312122307. The next prime is 22312122323. The reversal of 22312122312 is 21322121322.

It is a super-3 number, since 3×223121223123 (a number of 32 digits) contains 333 as substring.

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, 9841003 + ... + 9843269.

It is an arithmetic number, because the mean of its divisors is an integer number (459270000).

Almost surely, 222312122312 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 22312122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280000).

22312122312 is an abundant number, since it is smaller than the sum of its proper divisors (36474437688).

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

22312122312 is a wasteful number, since it uses less digits than its factorization.

22312122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2559 counting only the distinct ones).

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

Adding to 22312122312 its reverse (21322121322), we get a palindrome (43634243634).

The spelling of 22312122312 in words is "twenty-two billion, three hundred twelve million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 79 87 116 158 174 179 232 237 316 348 358 474 537 632 696 716 948 1074 1432 1896 2148 2267 2291 4296 4534 4582 5191 6801 6873 9068 9164 10382 13602 13746 14141 15573 18136 18328 20764 27204 27492 28282 31146 41528 42423 54408 54984 56564 62292 65743 84846 113128 124584 131486 169692 179093 197229 262972 339384 358186 394458 405793 410089 525944 537279 716372 788916 811586 820178 1074558 1217379 1230267 1432744 1577832 1623172 1640356 2149116 2434758 2460534 3246344 3280712 4298232 4869516 4921068 5193697 9739032 9842136 10387394 11767997 15581091 20774788 23535994 31162182 32057647 35303991 41549576 47071988 62324364 64115294 70607982 94143976 96172941 124648728 128230588 141215964 192345882 256461176 282431928 384691764 769383528 929671763 1859343526 2789015289 3718687052 5578030578 7437374104 11156061156 22312122312