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2002212202302 = 2321389793312119
BaseRepresentation
bin11101001000101101001…
…001011010011100111110
321002102001121111101000200
4131020231021122130332
5230301012310433202
64131445324104330
7264440453625324
oct35105511323476
97072047441020
102002212202302
11702151655154
122840609950a6
13116a66978b10
146cc9c5c5d14
1537137309e1c
hex1d22d25a73e

2002212202302 has 96 divisors (see below), whose sum is σ = 4725306331200. Its totient is φ = 609016167936.

The previous prime is 2002212202279. The next prime is 2002212202337. The reversal of 2002212202302 is 2032022122002.

2002212202302 is a `hidden beast` number, since 200 + 2 + 212 + 20 + 230 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165206599 + ... + 165218717.

It is an arithmetic number, because the mean of its divisors is an integer number (49221940950).

Almost surely, 22002212202302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002212202302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362653165600).

2002212202302 is an abundant number, since it is smaller than the sum of its proper divisors (2723094128898).

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

2002212202302 is a wasteful number, since it uses less digits than its factorization.

2002212202302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20162 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2002212202302 its reverse (2032022122002), we get a palindrome (4034234324304).

The spelling of 2002212202302 in words is "two trillion, two billion, two hundred twelve million, two hundred two thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 7933 10413 12119 15866 20826 23799 24238 36357 47598 71397 72714 103129 109071 142794 157547 206258 218142 309387 315094 472641 618774 706037 928161 945282 1078591 1412074 1417923 1856322 2118111 2157182 2835846 3235773 4236222 6354333 6471546 9178481 9707319 12708666 14021683 18356962 19414638 27535443 28043366 42065049 55070886 82606329 84130098 96140027 126195147 165212658 192280054 252390294 288420081 576840162 865260243 1249820351 1730520486 2499640702 3749461053 7498922106 8556462403 11248383159 17112924806 22496766318 25669387209 51338774418 77008161627 111234011239 154016323254 222468022478 333702033717 667404067434 1001106101151 2002212202302