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20002212221000 = 235334983968311
BaseRepresentation
bin1001000110001001000001…
…10000010001000001001000
32121211012012120010222100212
410203010200300101001020
510110204012312033000
6110312520041420252
74133053315420532
oct443044060210110
977735176128325
1020002212221000
116411988384459
1222b069049a688
13b2127b703b49
144d217dd9a852
1524a4841b8c35
hex123120c11048

20002212221000 has 128 divisors (see below), whose sum is σ = 46995923520000. Its totient is φ = 7968334176000.

The previous prime is 20002212220987. The next prime is 20002212221029. The reversal of 20002212221000 is 12221220002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292776845 + ... + 292845155.

It is an arithmetic number, because the mean of its divisors is an integer number (367155652500).

Almost surely, 220002212221000 is an apocalyptic number.

20002212221000 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 20002212221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497961760000).

20002212221000 is an abundant number, since it is smaller than the sum of its proper divisors (26993711299000).

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

20002212221000 is a wasteful number, since it uses less digits than its factorization.

20002212221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69520 (or 69506 counting only the distinct ones).

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

Adding to 20002212221000 its reverse (12221220002), we get a palindrome (20014433441002).

The spelling of 20002212221000 in words is "twenty trillion, two billion, two hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 698 839 1000 1396 1678 1745 2792 3356 3490 4195 6712 6980 8390 8725 13960 16780 17450 20975 33560 34900 41950 43625 68311 69800 83900 87250 104875 136622 167800 174500 209750 273244 292811 341555 349000 419500 546488 585622 683110 839000 1171244 1366220 1464055 1707775 2342488 2732440 2928110 3415550 5856220 6831100 7320275 8538875 11712440 13662200 14640550 17077750 23840539 29281100 34155500 36601375 47681078 57312929 58562200 68311000 73202750 95362156 114625858 119202695 146405500 190724312 229251716 238405390 286564645 292811000 458503432 476810780 573129290 596013475 953621560 1146258580 1192026950 1432823225 2292517160 2384053900 2865646450 2980067375 4768107800 5731292900 5960134750 7164116125 11462585800 11920269500 14328232250 20002212221 23840539000 28656464500 40004424442 57312929000 80008848884 100011061105 160017697768 200022122210 400044244420 500055305525 800088488840 1000110611050 2000221222100 2500276527625 4000442444200 5000553055250 10001106110500 20002212221000