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212935086 = 2327413379
BaseRepresentation
bin11001011000100…
…10000110101110
3112211200020000200
430230102012232
5414002410321
633043534330
75163630000
oct1454220656
9484606020
10212935086
11aa218311
125b38a3a6
1335165ac0
14203cc370
1513a61d26
hexcb121ae

212935086 has 120 divisors (see below), whose sum is σ = 581151480. Its totient is φ = 56010528.

The previous prime is 212935061. The next prime is 212935091. The reversal of 212935086 is 680539212.

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 212935086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 561645 + ... + 562023.

It is an arithmetic number, because the mean of its divisors is an integer number (4842929).

Almost surely, 2212935086 is an apocalyptic number.

212935086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212935086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290575740).

212935086 is an abundant number, since it is smaller than the sum of its proper divisors (368216394).

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

212935086 is a wasteful number, since it uses less digits than its factorization.

212935086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 212935086 is about 14592.2954328646. The cubic root of 212935086 is about 597.1485872081.

The spelling of 212935086 in words is "two hundred twelve million, nine hundred thirty-five thousand, eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 379 441 546 637 686 758 819 882 1029 1137 1274 1638 1911 2058 2274 2401 2653 3087 3411 3822 4459 4802 4927 5306 5733 6174 6822 7203 7959 8918 9854 11466 13377 14406 14781 15918 18571 21609 23877 26754 29562 31213 34489 37142 40131 43218 44343 47754 55713 62426 68978 80262 88686 93639 103467 111426 129997 167139 187278 206934 241423 259994 280917 310401 334278 389991 482846 561834 620802 724269 779982 909979 1169973 1448538 1689961 1819958 2172807 2339946 2729937 3379922 4345614 5069883 5459874 8189811 10139766 11829727 15209649 16379622 23659454 30419298 35489181 70978362 106467543 212935086