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224231312 = 241967101109
BaseRepresentation
bin11010101110101…
…11111110010000
3120121221010112102
431113113332100
5424400400222
634130015532
75361635414
oct1527277620
9517833472
10224231312
11105633338
12631175a8
13375bc666
1421accd44
1514a43d92
hexd5d7f90

224231312 has 80 divisors (see below), whose sum is σ = 473035200. Its totient is φ = 102643200.

The previous prime is 224231299. The next prime is 224231321. The reversal of 224231312 is 213132422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057114 + ... + 2057222.

It is an arithmetic number, because the mean of its divisors is an integer number (5912940).

Almost surely, 2224231312 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 224231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236517600).

224231312 is an abundant number, since it is smaller than the sum of its proper divisors (248803888).

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

224231312 is a wasteful number, since it uses less digits than its factorization.

224231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 224231312 is about 14974.3551447132. The cubic root of 224231312 is about 607.5267699201.

Adding to 224231312 its reverse (213132422), we get a palindrome (437363734).

The spelling of 224231312 in words is "two hundred twenty-four million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 67 76 101 109 134 152 202 218 268 304 404 436 536 808 872 1072 1273 1616 1744 1919 2071 2546 3838 4142 5092 6767 7303 7676 8284 10184 11009 13534 14606 15352 16568 20368 22018 27068 29212 30704 33136 44036 54136 58424 88072 108272 116848 128573 138757 176144 209171 257146 277514 418342 514292 555028 737603 836684 1028584 1110056 1475206 1673368 2057168 2220112 2950412 3346736 5900824 11801648 14014457 28028914 56057828 112115656 224231312