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22020000000200 = 23523531861167597
BaseRepresentation
bin1010000000110111011100…
…10001110010100011001000
32212222002110122211122010222
411000123232101302203020
510341233430000001300
6114455503124325212
74431615061514306
oct500335621624310
985862418748128
1022020000000200
11701a6a1a38004
122577759543808
13c39628222b47
14561ab8dd3276
15282bcdace785
hex1406ee4728c8

22020000000200 has 96 divisors (see below), whose sum is σ = 51369427224360. Its totient is φ = 8778276249600.

The previous prime is 22020000000161. The next prime is 22020000000209. The reversal of 22020000000200 is 200000002022.

It can be written as a sum of positive squares in 12 ways, for example, as 2312242607236 + 19707757392964 = 1520606^2 + 4439342^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (22020000000209) 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 23 ways as a sum of consecutive naturals, for example, 131302802 + ... + 131470398.

Almost surely, 222020000000200 is an apocalyptic number.

22020000000200 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 22020000000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25684713612180).

22020000000200 is an abundant number, since it is smaller than the sum of its proper divisors (29349427224160).

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

22020000000200 is a wasteful number, since it uses less digits than its factorization.

22020000000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169827 (or 169818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 22020000000200 its reverse (200000002022), we get a palindrome (22220000002222).

It can be divided in two parts, 2 and 2020000000200, that added together give a palindrome (2020000000202).

The spelling of 22020000000200 in words is "twenty-two trillion, twenty billion, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1765 1861 2824 3530 3722 7060 7444 8825 9305 14120 14888 17650 18610 35300 37220 46525 70600 74440 93050 167597 186100 335194 372200 656933 670388 837985 1313866 1340776 1675970 2627732 3284665 3351940 4189925 5255464 6569330 6703880 8379850 13138660 16423325 16759700 26277320 32846650 33519400 59161741 65693300 118323482 131386600 236646964 295808705 311898017 473293928 591617410 623796034 1183234820 1247592068 1479043525 1559490085 2366469640 2495184136 2958087050 3118980170 5916174100 6237960340 7797450425 11832348200 12475920680 15594900850 31189801700 62379603400 110100000001 220200000002 440400000004 550500000005 880800000008 1101000000010 2202000000020 2752500000025 4404000000040 5505000000050 11010000000100 22020000000200