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224514114 = 231129412861
BaseRepresentation
bin11010110000111…
…01000001000010
3120122110111110120
431120131001002
5424433422424
634140041110
75364224046
oct1530350102
9518414416
10224514114
11105806860
1263233196
133768b2b6
1421b64026
1514a9ca79
hexd61d042

224514114 has 64 divisors (see below), whose sum is σ = 519281280. Its totient is φ = 64064000.

The previous prime is 224514107. The next prime is 224514139. The reversal of 224514114 is 411415422.

It is an unprimeable number.

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, 77044 + ... + 79904.

It is an arithmetic number, because the mean of its divisors is an integer number (8113770).

Almost surely, 2224514114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224514114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259640640).

224514114 is an abundant number, since it is smaller than the sum of its proper divisors (294767166).

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

224514114 is a wasteful number, since it uses less digits than its factorization.

224514114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947.

The product of its digits is 1280, while the sum is 24.

The square root of 224514114 is about 14983.7950466496. The cubic root of 224514114 is about 607.7820682032.

Adding to 224514114 its reverse (411415422), we get a palindrome (635929536).

It can be divided in two parts, 22451 and 4114, that added together give a triangular number (26565 = T230).

The spelling of 224514114 in words is "two hundred twenty-four million, five hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 123 174 246 319 451 638 902 957 1189 1353 1914 2378 2706 2861 3567 5722 7134 8583 13079 17166 26158 31471 39237 62942 78474 82969 94413 117301 165938 188826 234602 248907 351903 497814 703806 912659 1290311 1825318 2580622 2737977 3401729 3870933 5475954 6803458 7741866 10205187 20410374 37419019 74838038 112257057 224514114