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224207334 = 2321319211239
BaseRepresentation
bin11010101110100…
…10000111100110
3120121212220122100
431113102013212
5424344113314
634125312530
75361505461
oct1527220746
9517786570
10224207334
1110561731a
1263105746
13375b1780
1421ac42d8
1514a3bc09
hexd5d21e6

224207334 has 96 divisors (see below), whose sum is σ = 555609600. Its totient is φ = 64774080.

The previous prime is 224207329. The next prime is 224207341. The reversal of 224207334 is 433702422.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224207298 and 224207307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937987 + ... + 938225.

It is an arithmetic number, because the mean of its divisors is an integer number (5787600).

Almost surely, 2224207334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224207334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277804800).

224207334 is an abundant number, since it is smaller than the sum of its proper divisors (331402266).

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

224207334 is a wasteful number, since it uses less digits than its factorization.

224207334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 224207334 is about 14973.5544878295. The cubic root of 224207334 is about 607.5051140148.

Adding to 224207334 its reverse (433702422), we get a palindrome (657909756).

The spelling of 224207334 in words is "two hundred twenty-four million, two hundred seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 211 234 239 247 342 422 478 494 633 717 741 1266 1434 1482 1899 2151 2223 2743 3107 3798 4009 4302 4446 4541 5486 6214 8018 8229 9082 9321 12027 13623 16458 18642 24054 24687 27246 27963 36081 40869 49374 50429 52117 55926 59033 72162 81738 100858 104234 118066 151287 156351 177099 302574 312702 354198 453861 469053 531297 655577 907722 938106 958151 1062594 1311154 1916302 1966731 2874453 3933462 5748906 5900193 8623359 11800386 12455963 17246718 24911926 37367889 74735778 112103667 224207334