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2002222022020 = 2251197110319091
BaseRepresentation
bin11101001000101101101…
…110110111110110000100
321002102002021222021010221
4131020231232313312010
5230301022314201040
64131450314354124
7264440633244253
oct35105556676604
97072067867127
102002222022020
11702157151920
1228406412b944
13116a68a065bc
146cc9da2079a
15371380e974a
hex1d22dbb7d84

2002222022020 has 96 divisors (see below), whose sum is σ = 4596591670272. Its totient is φ = 726545520000.

The previous prime is 2002222021997. The next prime is 2002222022023. The reversal of 2002222022020 is 202202222002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2002222021985 and 2002222022003.

It is not an unprimeable number, because it can be changed into a prime (2002222022023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220237675 + ... + 220246765.

It is an arithmetic number, because the mean of its divisors is an integer number (47881163232).

Almost surely, 22002222022020 is an apocalyptic number.

2002222022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002222022020 is an abundant number, since it is smaller than the sum of its proper divisors (2594369648252).

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

2002222022020 is a wasteful number, since it uses less digits than its factorization.

2002222022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11111 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2002222022020 its reverse (202202222002), we get a palindrome (2204424244022).

The spelling of 2002222022020 in words is "two trillion, two billion, two hundred twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 971 1031 1942 2062 3884 4124 4855 5155 9091 9710 10310 10681 11341 18182 19420 20620 21362 22682 36364 42724 45364 45455 53405 56705 90910 100001 106810 113410 181820 200002 213620 226820 400004 500005 1000010 1001101 2000020 2002202 4004404 5005505 8827361 9372821 10011010 11012111 17654722 18745642 20022020 22024222 35309444 37491284 44048444 44136805 46864105 55060555 88273610 93728210 97100971 103101031 110121110 176547220 187456420 194201942 206202062 220242220 388403884 412404124 485504855 515505155 971009710 1031010310 1942019420 2062020620 9101009191 18202018382 36404036764 45505045955 91010091910 100111101101 182020183820 200222202202 400444404404 500555505505 1001111011010 2002222022020