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22120231200 = 2535225513613
BaseRepresentation
bin10100100110011101…
…111111000100100000
32010002121010011200020
4110212131333010200
5330300234344300
614054545153440
71412105601654
oct244635770440
963077104606
1022120231200
119421326111
12435402b880
132116a2a202
1410dbb1aa64
15896e7c8a0
hex52677f120

22120231200 has 144 divisors (see below), whose sum is σ = 72049513536. Its totient is φ = 5894784000.

The previous prime is 22120231193. The next prime is 22120231213. The reversal of 22120231200 is 213202122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22120231200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6120594 + ... + 6124206.

It is an arithmetic number, because the mean of its divisors is an integer number (500343844).

Almost surely, 222120231200 is an apocalyptic number.

22120231200 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 22120231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36024756768).

22120231200 is an abundant number, since it is smaller than the sum of its proper divisors (49929282336).

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

22120231200 is a wasteful number, since it uses less digits than its factorization.

22120231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22120231200 its reverse (213202122), we get a palindrome (22333433322).

The spelling of 22120231200 in words is "twenty-two billion, one hundred twenty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 2551 3613 5102 7226 7653 10204 10839 12755 14452 15306 18065 20408 21678 25510 28904 30612 36130 38265 40816 43356 51020 54195 57808 61224 63775 72260 76530 81632 86712 90325 102040 108390 115616 122448 127550 144520 153060 173424 180650 191325 204080 216780 244896 255100 270975 289040 306120 346848 361300 382650 408160 433560 510200 541950 578080 612240 722600 765300 867120 1020400 1083900 1224480 1445200 1530600 1734240 2040800 2167800 2890400 3061200 4335600 6122400 8671200 9216763 18433526 27650289 36867052 46083815 55300578 73734104 92167630 110601156 138251445 147468208 184335260 221202312 230419075 276502890 294936416 368670520 442404624 460838150 553005780 691257225 737341040 884809248 921676300 1106011560 1382514450 1474682080 1843352600 2212023120 2765028900 3686705200 4424046240 5530057800 7373410400 11060115600 22120231200