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2002012202214 = 233894049102881
BaseRepresentation
bin11101001000100001001…
…110011110010011100110
321002101112200011022111000
4131020201032132103212
5230300110110432324
64131413421254130
7264432504640563
oct35104116362346
97071480138430
102002012202214
11702059772122
12284005a04346
13116a343c177b
146cc7dc0386a
15371249a09c9
hex1d22139e4e6

2002012202214 has 64 divisors (see below), whose sum is σ = 4500058680000. Its totient is φ = 659669852160.

The previous prime is 2002012202143. The next prime is 2002012202219. The reversal of 2002012202214 is 4122022102002.

2002012202214 is a `hidden beast` number, since 20 + 0 + 201 + 220 + 221 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002012202219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19408054 + ... + 19510934.

It is an arithmetic number, because the mean of its divisors is an integer number (70313416875).

Almost surely, 22002012202214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002012202214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250029340000).

2002012202214 is an abundant number, since it is smaller than the sum of its proper divisors (2498046477786).

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

2002012202214 is a wasteful number, since it uses less digits than its factorization.

2002012202214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107030 (or 107024 counting only the distinct ones).

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

Adding to 2002012202214 its reverse (4122022102002), we get a palindrome (6124034304216).

The spelling of 2002012202214 in words is "two trillion, two billion, twelve million, two hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4049 4806 8098 12147 24294 36441 72882 102881 109323 205762 218646 308643 360361 617286 720722 925929 1081083 1851858 2162166 2777787 3243249 5555574 6486498 9156409 9729747 18312818 19459494 27469227 54938454 82407681 164815362 247223043 416565169 494446086 833130338 1249695507 2499391014 3749086521 7498173042 11247259563 22494519126 37074300041 74148600082 111222900123 222445800246 333668700369 667337400738 1001006101107 2002012202214