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224113014 = 23347227389
BaseRepresentation
bin11010101101110…
…11000101110110
3120121201010021000
431112323011312
5424333104024
634123304130
75360633466
oct1526730566
9517633230
10224113014
11105562474
126307b046
133757a868
1421a9bba6
1514a1dcc9
hexd5bb176

224113014 has 64 divisors (see below), whose sum is σ = 512179200. Its totient is φ = 72605664.

The previous prime is 224113007. The next prime is 224113039. The reversal of 224113014 is 410311422.

It is a super-3 number, since 3×2241130143 (a number of 26 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575932 + ... + 576320.

It is an arithmetic number, because the mean of its divisors is an integer number (8002800).

Almost surely, 2224113014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224113014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

224113014 is an abundant number, since it is smaller than the sum of its proper divisors (288066186).

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

224113014 is a wasteful number, since it uses less digits than its factorization.

224113014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 224113014 is about 14970.4046037507. The cubic root of 224113014 is about 607.4199132347.

Adding to 224113014 its reverse (410311422), we get a palindrome (634424436).

It can be divided in two parts, 22411 and 3014, that added together give a triangular number (25425 = T225).

The spelling of 224113014 in words is "two hundred twenty-four million, one hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 227 282 389 423 454 681 778 846 1167 1269 1362 2043 2334 2538 3501 4086 6129 7002 10503 10669 12258 18283 21006 21338 32007 36566 54849 64014 88303 96021 109698 164547 176606 192042 264909 288063 329094 493641 529818 576126 794727 987282 1589454 2384181 4150241 4768362 8300482 12450723 24901446 37352169 74704338 112056507 224113014