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211344012 = 223311414339
BaseRepresentation
bin11001001100011…
…01101010001100
3112201200101111000
430212031222030
5413101002022
632545500300
75144252205
oct1446155214
9481611430
10211344012
11a9330980
125a941690
1334a29839
14200d65ac
151384a6ac
hexc98da8c

211344012 has 96 divisors (see below), whose sum is σ = 612460800. Its totient is φ = 62467200.

The previous prime is 211343999. The next prime is 211344031. The reversal of 211344012 is 210443112.

211344012 is a `hidden beast` number, since 211 + 3 + 440 + 12 = 666.

It is a super-2 number, since 2×2113440122 = 89332582816512288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 46539 + ... + 50877.

It is an arithmetic number, because the mean of its divisors is an integer number (6379800).

Almost surely, 2211344012 is an apocalyptic number.

211344012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211344012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306230400).

211344012 is an abundant number, since it is smaller than the sum of its proper divisors (401116788).

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

211344012 is a wasteful number, since it uses less digits than its factorization.

211344012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211344012 is about 14537.6756051303. The cubic root of 211344012 is about 595.6575476658.

Adding to 211344012 its reverse (210443112), we get a palindrome (421787124).

The spelling of 211344012 in words is "two hundred eleven million, three hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4339 4428 5412 8118 8678 12177 13017 16236 17356 24354 26034 39051 47729 48708 52068 78102 95458 117153 143187 156204 177899 190916 234306 286374 355798 429561 468612 533697 572748 711596 859122 1067394 1288683 1601091 1718244 1956889 2134788 2577366 3202182 3913778 4803273 5154732 5870667 6404364 7827556 9606546 11741334 17612001 19213092 23482668 35224002 52836003 70448004 105672006 211344012