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211141404 = 22347379113
BaseRepresentation
bin11001001010111…
…00001100011100
3112201022002120000
430211130030130
5413023011104
632541254300
75142446415
oct1445341434
9481262500
10211141404
11a9202731
125a864390
1334988556
142008280c
151380a639
hexc95c31c

211141404 has 120 divisors (see below), whose sum is σ = 571623360. Its totient is φ = 67931136.

The previous prime is 211141379. The next prime is 211141423. The reversal of 211141404 is 404141112.

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

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 39 ways as a sum of consecutive naturals, for example, 1868452 + ... + 1868564.

It is an arithmetic number, because the mean of its divisors is an integer number (4763528).

Almost surely, 2211141404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211141404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285811680).

211141404 is an abundant number, since it is smaller than the sum of its proper divisors (360481956).

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

211141404 is a wasteful number, since it uses less digits than its factorization.

211141404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 211141404 is about 14530.7055575426. The cubic root of 211141404 is about 595.4671415608.

Adding to 211141404 its reverse (404141112), we get a palindrome (615282516).

The spelling of 211141404 in words is "two hundred eleven million, one hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 79 81 108 113 146 158 162 219 226 237 292 316 324 339 438 452 474 657 678 711 876 948 1017 1314 1356 1422 1971 2034 2133 2628 2844 3051 3942 4068 4266 5767 5913 6102 6399 7884 8249 8532 8927 9153 11534 11826 12204 12798 16498 17301 17854 18306 23068 23652 24747 25596 26781 32996 34602 35708 36612 49494 51903 53562 69204 74241 80343 98988 103806 107124 148482 155709 160686 207612 222723 241029 296964 311418 321372 445446 467127 482058 622836 651671 668169 723087 890892 934254 964116 1303342 1336338 1446174 1868508 1955013 2606684 2672676 2892348 3910026 5865039 7820052 11730078 17595117 23460156 35190234 52785351 70380468 105570702 211141404