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214422012 = 223371811567
BaseRepresentation
bin11001100011111…
…01000111111100
3112221110202201000
430301331013330
5414343001022
633135450300
75212362030
oct1461750774
9487422630
10214422012
11100043482
125b986990
133556683c
14206981c0
1513c576ac
hexcc7d1fc

214422012 has 96 divisors (see below), whose sum is σ = 639242240. Its totient is φ = 60886080.

The previous prime is 214422007. The next prime is 214422017. The reversal of 214422012 is 210224412.

214422012 is a `hidden beast` number, since 21 + 442 + 201 + 2 = 666.

214422012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214422007) and next prime (214422017).

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 (214422017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136053 + ... + 137619.

Almost surely, 2214422012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214422012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319621120).

214422012 is an abundant number, since it is smaller than the sum of its proper divisors (424820228).

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

214422012 is a wasteful number, since it uses less digits than its factorization.

214422012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1760 counting only the distinct ones).

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

The square root of 214422012 is about 14643.1558074071. The cubic root of 214422012 is about 598.5353274666.

Adding to 214422012 its reverse (210224412), we get a palindrome (424646424).

The spelling of 214422012 in words is "two hundred fourteen million, four hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 181 189 252 362 378 543 724 756 1086 1267 1567 1629 2172 2534 3134 3258 3801 4701 4887 5068 6268 6516 7602 9402 9774 10969 11403 14103 15204 18804 19548 21938 22806 28206 32907 34209 42309 43876 45612 56412 65814 68418 84618 98721 131628 136836 169236 197442 283627 296163 394884 567254 592326 850881 1134508 1184652 1701762 1985389 2552643 3403524 3970778 5105286 5956167 7657929 7941556 10210572 11912334 15315858 17868501 23824668 30631716 35737002 53605503 71474004 107211006 214422012