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212934186 = 23237595419
BaseRepresentation
bin11001011000100…
…01111000101010
3112211200011210100
430230101320222
5414002343221
633043530230
75163624243
oct1454217052
9484604710
10212934186
11aa217673
125b389976
133516557a
14203cbcca
1513a61926
hexcb11e2a

212934186 has 48 divisors (see below), whose sum is σ = 481946400. Its totient is φ = 67876704.

The previous prime is 212934157. The next prime is 212934199. The reversal of 212934186 is 681439212.

It is a self number, because there is not a number n which added to its sum of digits gives 212934186.

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 23 ways as a sum of consecutive naturals, for example, 36585 + ... + 42003.

It is an arithmetic number, because the mean of its divisors is an integer number (10040550).

Almost surely, 2212934186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212934186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240973200).

212934186 is an abundant number, since it is smaller than the sum of its proper divisors (269012214).

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

212934186 is a wasteful number, since it uses less digits than its factorization.

212934186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5520 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 212934186 is about 14592.2645946405. The cubic root of 212934186 is about 597.1477458962.

It can be divided in two parts, 2129 and 34186, that added together give a triangular number (36315 = T269).

The spelling of 212934186 in words is "two hundred twelve million, nine hundred thirty-four thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 333 354 531 666 1062 2183 4366 5419 6549 10838 13098 16257 19647 32514 39294 48771 97542 200503 319721 401006 601509 639442 959163 1203018 1804527 1918326 2877489 3609054 5754978 11829677 23659354 35489031 70978062 106467093 212934186