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212617086 = 23112614801
BaseRepresentation
bin11001010110001…
…00011101111110
3112211002001210220
430223010131332
5413412221321
633033042210
75161133613
oct1453043576
9484061726
10212617086
11aa020400
125b256366
1335084136
142034850a
15139ec9c6
hexcac477e

212617086 has 48 divisors (see below), whose sum is σ = 475167504. Its totient is φ = 63360000.

The previous prime is 212617073. The next prime is 212617091. The reversal of 212617086 is 680716212.

212617086 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41886 + ... + 46686.

It is an arithmetic number, because the mean of its divisors is an integer number (9899323).

Almost surely, 2212617086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212617086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237583752).

212617086 is an abundant number, since it is smaller than the sum of its proper divisors (262550418).

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

212617086 is a wasteful number, since it uses less digits than its factorization.

212617086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 212617086 is about 14581.3952007344. The cubic root of 212617086 is about 596.8511759759.

The spelling of 212617086 in words is "two hundred twelve million, six hundred seventeen thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1342 2013 4026 4801 7381 9602 14403 14762 22143 28806 44286 52811 105622 158433 292861 316866 580921 585722 878583 1161842 1742763 1757166 3221471 3485526 6442942 9664413 19328826 35436181 70872362 106308543 212617086