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212278086 = 232232917681
BaseRepresentation
bin11001010011100…
…01101101000110
3112210102211210100
430221301231012
5413320344321
633021504530
75155222356
oct1451615506
9483384710
10212278086
11a9909739
125b112146
1334c95a47
142029ab66
1513982326
hexca71b46

212278086 has 48 divisors (see below), whose sum is σ = 496510560. Its totient is φ = 65345280.

The previous prime is 212278081. The next prime is 212278097. The reversal of 212278086 is 680872212.

It is a happy number.

212278086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212278086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212278081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3166 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (10343970).

Almost surely, 2212278086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212278086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248255280).

212278086 is an abundant number, since it is smaller than the sum of its proper divisors (284232474).

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

212278086 is a wasteful number, since it uses less digits than its factorization.

212278086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17741 (or 17738 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 212278086 is about 14569.7661614729. The cubic root of 212278086 is about 596.5337976286.

It can be divided in two parts, 2122 and 78086, that added together give a palindrome (80208).

The spelling of 212278086 in words is "two hundred twelve million, two hundred seventy-eight thousand, eighty-six".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 12006 17681 35362 53043 106086 159129 318258 406663 512749 813326 1025498 1219989 1538247 2439978 3076494 3659967 4614741 7319934 9229482 11793227 23586454 35379681 70759362 106139043 212278086