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211223012 = 227111371743
BaseRepresentation
bin11001001011100…
…00000111100100
3112201110020111112
430211300013210
5413033114022
632543124152
75143236350
oct1445600744
9481406445
10211223012
11a9258a80
125a8a3658
13349b6740
14200a4460
15138248e2
hexc9701e4

211223012 has 96 divisors (see below), whose sum is σ = 503967744. Its totient is φ = 74793600.

The previous prime is 211222997. The next prime is 211223039. The reversal of 211223012 is 210322112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283913 + ... + 284655.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2211223012 is an apocalyptic number.

211223012 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 211223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

211223012 is an abundant number, since it is smaller than the sum of its proper divisors (292744732).

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

211223012 is a wasteful number, since it uses less digits than its factorization.

211223012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 211223012 is about 14533.5134086703. The cubic root of 211223012 is about 595.5438494323.

Adding to 211223012 its reverse (210322112), we get a palindrome (421545124).

The spelling of 211223012 in words is "two hundred eleven million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 71 77 91 142 143 154 182 284 286 308 364 497 572 743 781 923 994 1001 1486 1562 1846 1988 2002 2972 3124 3692 4004 5201 5467 6461 8173 9659 10153 10402 10934 12922 16346 19318 20306 20804 21868 25844 32692 38636 40612 52753 57211 67613 71071 105506 106249 114422 135226 142142 211012 212498 228844 270452 284284 369271 424996 580283 685789 738542 743743 1160566 1371578 1477084 1487486 2321132 2743156 2974972 4061981 4800523 7543679 8123962 9601046 15087358 16247924 19202092 30174716 52805753 105611506 211223012