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22132105212 = 22372321732879
BaseRepresentation
bin10100100111001011…
…010001111111111100
32010010102110102202110
4110213023101333330
5330311304331322
614100051454020
71412311535040
oct244713217774
963112412673
1022132105212
119427aa6248
124357bb7310
132119326a59
1410dd52c020
15898025c0c
hex5272d1ffc

22132105212 has 144 divisors (see below), whose sum is σ = 62074736640. Its totient is φ = 6011474304.

The previous prime is 22132105199. The next prime is 22132105253. The reversal of 22132105212 is 21250123122.

It is a super-2 number, since 2×221321052122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7685989 + ... + 7688867.

It is an arithmetic number, because the mean of its divisors is an integer number (431074560).

Almost surely, 222132105212 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 22132105212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31037368320).

22132105212 is an abundant number, since it is smaller than the sum of its proper divisors (39942631428).

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

22132105212 is a wasteful number, since it uses less digits than its factorization.

22132105212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 22132105212 its reverse (21250123122), we get a palindrome (43382228334).

The spelling of 22132105212 in words is "twenty-two billion, one hundred thirty-two million, one hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 173 276 322 346 483 519 529 644 692 966 1038 1058 1211 1587 1932 2076 2116 2422 2879 3174 3633 3703 3979 4844 5758 6348 7266 7406 7958 8637 11109 11516 11937 14532 14812 15916 17274 20153 22218 23874 27853 34548 40306 44436 47748 55706 60459 66217 80612 83559 91517 111412 120918 132434 167118 183034 198651 241836 264868 274551 334236 366068 397302 463519 498067 549102 640619 794604 927038 996134 1098204 1281238 1390557 1494201 1522991 1854076 1921857 1992268 2562476 2781114 2988402 3045982 3486469 3843714 4568973 5562228 5976804 6091964 6972938 7687428 9137946 10459407 10660937 11455541 13945876 18275892 20918814 21321874 22911082 31982811 34366623 41837628 42643748 45822164 63965622 68733246 80188787 127931244 137466492 160377574 240566361 263477443 320755148 481132722 526954886 790432329 962265444 1053909772 1580864658 1844342101 3161729316 3688684202 5533026303 7377368404 11066052606 22132105212