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22200102000 = 243353411113
BaseRepresentation
bin10100101011001110…
…101010110001110000
32010022011102000211000
4110223032222301300
5330431211231000
614110521122000
71414065516306
oct245316526160
963264360730
1022200102000
11946241923a
124376929300
13212a44383b
14110858c276
1589dea8000
hex52b3aac70

22200102000 has 160 divisors (see below), whose sum is σ = 79525892160. Its totient is φ = 5920012800.

The previous prime is 22200101939. The next prime is 22200102073. The reversal of 22200102000 is 20100222.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 151557 + ... + 259556.

It is an arithmetic number, because the mean of its divisors is an integer number (497036826).

Almost surely, 222200102000 is an apocalyptic number.

22200102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200102000 is an abundant number, since it is smaller than the sum of its proper divisors (57325790160).

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

22200102000 is a wasteful number, since it uses less digits than its factorization.

22200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411145 (or 411123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22200102000 its reverse (20100222), we get a palindrome (22220202222).

The spelling of 22200102000 in words is "twenty-two billion, two hundred million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 411113 822226 1233339 1644452 2055565 2466678 3288904 3700017 4111130 4933356 6166695 6577808 7400034 8222260 9866712 10277825 11100051 12333390 14800068 16444520 18500085 19733424 20555650 22200102 24666780 29600136 30833475 32889040 37000170 41111300 44400204 49333560 51389125 55500255 59200272 61666950 74000340 82222600 88800408 92500425 98667120 102778250 111000510 123333900 148000680 154167375 164445200 177600816 185000850 205556500 222001020 246667800 277501275 296001360 308334750 370001700 411113000 444002040 462502125 493335600 555002550 616669500 740003400 822226000 888004080 925004250 1110005100 1233339000 1387506375 1480006800 1850008500 2220010200 2466678000 2775012750 3700017000 4440020400 5550025500 7400034000 11100051000 22200102000