Search a number
-
+
114224131230 = 23511346133731
BaseRepresentation
bin110101001100001001…
…0011110110010011110
3101220211110212002001220
41222120102132302132
53332412334144410
6124250203314210
711152403044566
oct1523022366236
9356743762056
10114224131230
11444955a9460
121a17951b966
13aa046a4541
1457581dbda6
152e87d92070
hex1a9849ec9e

114224131230 has 32 divisors (see below), whose sum is σ = 299059544448. Its totient is φ = 27690698400.

The previous prime is 114224131213. The next prime is 114224131237. The reversal of 114224131230 is 32131422411.

114224131230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1142241312302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114224131230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114224131237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173066536 + ... + 173067195.

It is an arithmetic number, because the mean of its divisors is an integer number (9345610764).

Almost surely, 2114224131230 is an apocalyptic number.

114224131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114224131230 is an abundant number, since it is smaller than the sum of its proper divisors (184835413218).

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

114224131230 is a wasteful number, since it uses less digits than its factorization.

114224131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346133752.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114224131230 its reverse (32131422411), we get a palindrome (146355553641).

The spelling of 114224131230 in words is "one hundred fourteen billion, two hundred twenty-four million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 346133731 692267462 1038401193 1730668655 2076802386 3461337310 3807471041 5192005965 7614942082 10384011930 11422413123 19037355205 22844826246 38074710410 57112065615 114224131230