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2012204214 = 2331011372693
BaseRepresentation
bin111011111101111…
…1100110010110110
312012020022120021000
41313323330302312
513110111013324
6531400304130
7100602311406
oct16773746266
95166276230
102012204214
11942922899
12481a72046
13260b5b2a7
14151354806
15bb9c39c9
hex77efccb6

2012204214 has 64 divisors (see below), whose sum is σ = 4550489280. Its totient is φ = 659001600.

The previous prime is 2012204149. The next prime is 2012204219. The reversal of 2012204214 is 4124022102.

2012204214 is a `hidden beast` number, since 20 + 1 + 220 + 421 + 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 (2012204219) 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, 745852 + ... + 748544.

It is an arithmetic number, because the mean of its divisors is an integer number (71101395).

Almost surely, 22012204214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012204214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275244640).

2012204214 is an abundant number, since it is smaller than the sum of its proper divisors (2538285066).

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

2012204214 is a wasteful number, since it uses less digits than its factorization.

2012204214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2936 counting only the distinct ones).

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

The square root of 2012204214 is about 44857.5992893066. The cubic root of 2012204214 is about 1262.4785791745.

Adding to 2012204214 its reverse (4124022102), we get a palindrome (6136226316).

The spelling of 2012204214 in words is "two billion, twelve million, two hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 101 137 202 274 303 411 606 822 909 1233 1818 2466 2693 2727 3699 5386 5454 7398 8079 13837 16158 24237 27674 41511 48474 72711 83022 124533 145422 249066 271993 368941 373599 543986 737882 747198 815979 1106823 1631958 2213646 2447937 3320469 4895874 6640938 7343811 9961407 14687622 19922814 37263041 74526082 111789123 223578246 335367369 670734738 1006102107 2012204214