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2002221221022 = 2321179392932579
BaseRepresentation
bin11101001000101101101…
…011110100010010011110
321002102002020110120101100
4131020231223310102132
5230301022113033042
64131450245253530
7264440623400061
oct35105553642236
97072066416340
102002221221022
11702156755040
12284063a042a6
13116a687b5b39
146cc9d8928d8
1537137edc24c
hex1d22daf449e

2002221221022 has 96 divisors (see below), whose sum is σ = 4793795136000. Its totient is φ = 598882677120.

The previous prime is 2002221220991. The next prime is 2002221221023. The reversal of 2002221221022 is 2201221222002.

2002221221022 is a `hidden beast` number, since 200 + 2 + 221 + 221 + 0 + 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 = 2002221220986 and 2002221221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002221221023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61441129 + ... + 61473707.

It is an arithmetic number, because the mean of its divisors is an integer number (49935366000).

Almost surely, 22002221221022 is an apocalyptic number.

2002221221022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002221221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396897568000).

2002221221022 is an abundant number, since it is smaller than the sum of its proper divisors (2791573914978).

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

2002221221022 is a wasteful number, since it uses less digits than its factorization.

2002221221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36606 (or 36603 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2002221221022 its reverse (2201221222002), we get a palindrome (4203442443024).

It can be divided in two parts, 200 and 2221221022, that added together give a palindrome (2221221222).

The spelling of 2002221221022 in words is "two trillion, two billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 3929 5214 7821 7858 11787 15642 23574 32579 35361 43219 65158 70722 86438 97737 129657 195474 259314 293211 310391 358369 388971 586422 620782 716738 777942 931173 1075107 1862346 2150214 2573741 2793519 3225321 3414301 5147482 5587038 6450642 6828602 7721223 10242903 15442446 20485806 23163669 28311151 30728709 46327338 56622302 61457418 84933453 128002891 169866906 254800359 256005782 384008673 509600718 768017346 1152026019 1408031801 2304052038 2816063602 4224095403 8448190806 10112228389 12672286209 20224456778 25344572418 30336685167 60673370334 91010055501 111234512279 182020111002 222469024558 333703536837 667407073674 1001110610511 2002221221022