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211423224 = 233293141239
BaseRepresentation
bin11001001101000…
…00111111111000
3112201211102010210
430212200333320
5413111020344
632551311120
75145032145
oct1446407770
9481742123
10211423224
11a9385441
125a97b4a0
1334a568cc
14201173cc
1513863db9
hexc9a0ff8

211423224 has 128 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 63974400.

The previous prime is 211423213. The next prime is 211423229. The reversal of 211423224 is 422324112.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211423224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211423229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884497 + ... + 884735.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2211423224 is an apocalyptic number.

211423224 is a gapful number since it is divisible by the number (24) 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 211423224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

211423224 is an abundant number, since it is smaller than the sum of its proper divisors (369184776).

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

211423224 is a wasteful number, since it uses less digits than its factorization.

211423224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 211423224 is about 14540.3997194025. The cubic root of 211423224 is about 595.7319561017.

Adding to 211423224 its reverse (422324112), we get a palindrome (633747336).

The spelling of 211423224 in words is "two hundred eleven million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 31 41 58 62 82 87 93 116 123 124 164 174 186 232 239 246 248 328 348 372 478 492 696 717 744 899 956 984 1189 1271 1434 1798 1912 2378 2542 2697 2868 3567 3596 3813 4756 5084 5394 5736 6931 7134 7192 7409 7626 9512 9799 10168 10788 13862 14268 14818 15252 19598 20793 21576 22227 27724 28536 29397 29636 30504 36859 39196 41586 44454 55448 58794 59272 73718 78392 83172 88908 110577 117588 147436 166344 177816 214861 221154 235176 284171 294872 303769 429722 442308 568342 607538 644583 852513 859444 884616 911307 1136684 1215076 1289166 1705026 1718888 1822614 2273368 2430152 2578332 3410052 3645228 5156664 6820104 7290456 8809301 17618602 26427903 35237204 52855806 70474408 105711612 211423224