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224568344 = 237111329967
BaseRepresentation
bin11010110001010…
…10010000011000
3120122120020212002
431120222100120
5424442141334
634141140132
75364541130
oct1530522030
9518506762
10224568344
11105843580
126325a648
13376a9ba0
1421b79ac0
1514aadb7e
hexd62a418

224568344 has 128 divisors (see below), whose sum is σ = 585446400. Its totient is φ = 77898240.

The previous prime is 224568341. The next prime is 224568413. The reversal of 224568344 is 443865422.

It is a happy number.

It is a super-2 number, since 2×2245683442 = 100861882253804672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224568298 and 224568307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224568341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231749 + ... + 232715.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2224568344 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 224568344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

224568344 is an abundant number, since it is smaller than the sum of its proper divisors (360878056).

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

224568344 is a wasteful number, since it uses less digits than its factorization.

224568344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1029 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

The square root of 224568344 is about 14985.6045590427. The cubic root of 224568344 is about 607.8309996008.

The spelling of 224568344 in words is "two hundred twenty-four million, five hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 29 44 52 56 58 77 88 91 104 116 143 154 182 203 232 286 308 319 364 377 406 572 616 638 728 754 812 967 1001 1144 1276 1508 1624 1934 2002 2233 2552 2639 3016 3868 4004 4147 4466 5278 6769 7736 8008 8294 8932 10556 10637 12571 13538 16588 17864 21112 21274 25142 27076 28043 29029 33176 42548 50284 54152 56086 58058 74459 85096 87997 100568 112172 116116 138281 148918 175994 196301 224344 232232 276562 297836 308473 351988 364559 392602 553124 595672 616946 703976 729118 785204 967967 1106248 1233892 1458236 1570408 1935934 2159311 2467784 2551913 2916472 3871868 4010149 4318622 5103826 7743736 8020298 8637244 10207652 16040596 17274488 20415304 28071043 32081192 56142086 112284172 224568344