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22200021221000 = 235376474901749
BaseRepresentation
bin1010000110000110110000…
…11000001111111010001000
32220121022010122112011212012
411003003120120033322020
510402211120413033000
6115114314324035052
74450620135606530
oct503033030177210
986538118464765
1022200021221000
117089a81253737
1225a661a232a88
13c505b738737c
1456a6b59544c0
152877180ca735
hex1430d860fe88

22200021221000 has 128 divisors (see below), whose sum is σ = 59460972480000. Its totient is φ = 7599670099200.

The previous prime is 22200021220991. The next prime is 22200021221009. The reversal of 22200021221000 is 12212000222.

It is an interprime number because it is at equal distance from previous prime (22200021220991) and next prime (22200021221009).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (22200021221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078126 + ... + 6979874.

It is an arithmetic number, because the mean of its divisors is an integer number (464538847500).

Almost surely, 222200021221000 is an apocalyptic number.

22200021221000 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 22200021221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730486240000).

22200021221000 is an abundant number, since it is smaller than the sum of its proper divisors (37260951259000).

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

22200021221000 is a wasteful number, since it uses less digits than its factorization.

22200021221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902424 (or 4902410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22200021221000 its reverse (12212000222), we get a palindrome (22212233221222).

The spelling of 22200021221000 in words is "twenty-two trillion, two hundred billion, twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 647 700 875 1000 1294 1400 1750 2588 3235 3500 4529 5176 6470 7000 9058 12940 16175 18116 22645 25880 32350 36232 45290 64700 80875 90580 113225 129400 161750 181160 226450 323500 452900 566125 647000 905800 1132250 2264500 4529000 4901749 9803498 19606996 24508745 34312243 39213992 49017490 68624486 98034980 122543725 137248972 171561215 196069960 245087450 274497944 343122430 490174900 612718625 686244860 857806075 980349800 1225437250 1372489720 1715612150 2450874500 3171431603 3431224300 4289030375 4901749000 6342863206 6862448600 8578060750 12685726412 15857158015 17156121500 22200021221 25371452824 31714316030 34312243000 44400042442 63428632060 79285790075 88800084884 111000106105 126857264120 158571580150 177600169768 222000212210 317143160300 396428950375 444000424420 555000530525 634286320600 792857900750 888000848840 1110001061050 1585715801500 2220002122100 2775002652625 3171431603000 4440004244200 5550005305250 11100010610500 22200021221000