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22200100212000 = 253531850008351
BaseRepresentation
bin1010000110000110111010…
…00101100100110100100000
32220121022100011011100010210
411003003131011210310200
510402211301123241000
6115114330225054120
74450622115201144
oct503033505446440
986538304140123
1022200100212000
11708a0118a5857
1225a6640787340
13c505ca8533c9
1456a6c2237224
1528771eed0350
hex1430dd164d20

22200100212000 has 96 divisors (see below), whose sum is σ = 72727528333824. Its totient is φ = 5920026720000.

The previous prime is 22200100211977. The next prime is 22200100212001. The reversal of 22200100212000 is 21200100222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22200100212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924992176 + ... + 925016175.

It is an arithmetic number, because the mean of its divisors is an integer number (757578420144).

Almost surely, 222200100212000 is an apocalyptic number.

22200100212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200100212000 is an abundant number, since it is smaller than the sum of its proper divisors (50527428121824).

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

22200100212000 is a wasteful number, since it uses less digits than its factorization.

22200100212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850008379 (or 1850008361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22200100212000 its reverse (21200100222), we get a palindrome (22221300312222).

The spelling of 22200100212000 in words is "twenty-two trillion, two hundred billion, one hundred million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1850008351 3700016702 5550025053 7400033404 9250041755 11100050106 14800066808 18500083510 22200100212 27750125265 29600133616 37000167020 44400200424 46250208775 55500250530 59200267232 74000334040 88800400848 92500417550 111000501060 138750626325 148000668080 177600801696 185000835100 222001002120 231251043875 277501252650 296001336160 370001670200 444002004240 462502087750 555002505300 693753131625 740003340400 888004008480 925004175500 1110005010600 1387506263250 1480006680800 1850008351000 2220010021200 2775012526500 3700016702000 4440020042400 5550025053000 7400033404000 11100050106000 22200100212000