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20002002000 = 243534337699
BaseRepresentation
bin10010101000001101…
…100101010001010000
31220121222021222110220
4102220031211101100
5311431003031000
613104440153040
71305445132431
oct225015452120
956558258426
1020002002000
118534677172
123a62768780
131b69c28c56
14d7a687488
157c10141a0
hex4a8365450

20002002000 has 160 divisors (see below), whose sum is σ = 64643779200. Its totient is φ = 5320857600.

The previous prime is 20002001969. The next prime is 20002002089. The reversal of 20002002000 is 20020002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20002002000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2594151 + ... + 2601849.

It is an arithmetic number, because the mean of its divisors is an integer number (404023620).

Almost surely, 220002002000 is an apocalyptic number.

20002002000 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 20002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32321889600).

20002002000 is an abundant number, since it is smaller than the sum of its proper divisors (44641777200).

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

20002002000 is a wasteful number, since it uses less digits than its factorization.

20002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

Adding to 20002002000 its reverse (20020002), we get a palindrome (20022022002).

The spelling of 20002002000 in words is "twenty billion, two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 433 500 600 750 866 1000 1200 1299 1500 1732 2000 2165 2598 3000 3464 4330 5196 6000 6495 6928 7699 8660 10392 10825 12990 15398 17320 20784 21650 23097 25980 30796 32475 34640 38495 43300 46194 51960 54125 61592 64950 76990 86600 92388 103920 108250 115485 123184 129900 153980 162375 173200 184776 192475 216500 230970 259800 307960 324750 369552 384950 433000 461940 519600 577425 615920 649500 769900 866000 923880 962375 1154850 1299000 1539800 1847760 1924750 2309700 2598000 2887125 3079600 3333667 3849500 4619400 5774250 6667334 7699000 9238800 10001001 11548500 13334668 15398000 16668335 20002002 23097000 26669336 33336670 40004004 46194000 50005005 53338672 66673340 80008008 83341675 100010010 133346680 160016016 166683350 200020020 250025025 266693360 333366700 400040040 416708375 500050050 666733400 800080080 833416750 1000100100 1250125125 1333466800 1666833500 2000200200 2500250250 3333667000 4000400400 5000500500 6667334000 10001001000 20002002000