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2002222022022 = 2333110711299901
BaseRepresentation
bin11101001000101101101…
…110110111110110000110
321002102002021222021011000
4131020231232313312012
5230301022314201042
64131450314354130
7264440633244255
oct35105556676606
97072067867130
102002222022022
11702157151922
1228406412b946
13116a68a065c1
146cc9da2079c
15371380e974c
hex1d22dbb7d86

2002222022022 has 128 divisors (see below), whose sum is σ = 4640409907200. Its totient is φ = 639210528000.

The previous prime is 2002222021997. The next prime is 2002222022023. The reversal of 2002222022022 is 2202202222002.

2002222022022 is a `hidden beast` number, since 200 + 2 + 2 + 220 + 220 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002222021986 and 2002222022004.

It is a congruent number.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202219272 + ... + 202229172.

It is an arithmetic number, because the mean of its divisors is an integer number (36253202400).

Almost surely, 22002222022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002222022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320204953600).

2002222022022 is an abundant number, since it is smaller than the sum of its proper divisors (2638187885178).

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

2002222022022 is a wasteful number, since it uses less digits than its factorization.

2002222022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2002222022022 its reverse (2202202222002), we get a palindrome (4204424244024).

The spelling of 2002222022022 in words is "two trillion, two billion, two hundred twenty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 107 186 214 279 321 558 642 837 963 1129 1674 1926 2258 2889 3317 3387 5778 6634 6774 9901 9951 10161 19802 19902 20322 29703 29853 30483 34999 59406 59706 60966 69998 89109 89559 104997 120803 178218 179118 209994 241606 267327 306931 314991 362409 534654 613862 629982 724818 920793 944973 1059407 1087227 1841586 1889946 2118814 2174454 2762379 3178221 3261681 3744893 5524758 6356442 6523362 7489786 8287137 9534663 11178229 11234679 16574274 19069326 22356458 22469358 28603989 32841617 33534687 33704037 57207978 65683234 67069374 67408074 98524851 100604061 101112111 197049702 201208122 202224222 295574553 301812183 346525099 591149106 603624366 693050198 886723659 1039575297 1196070503 1773447318 2079150594 2392141006 3118725891 3588211509 6237451782 7176423018 9356177673 10764634527 18712355346 21529269054 32293903581 37078185593 64587807162 74156371186 111234556779 222469113558 333703670337 667407340674 1001111011011 2002222022022