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114113214 = 23217834493
BaseRepresentation
bin1101100110100…
…11101010111110
321221201112220100
412303103222332
5213203110324
615153501530
72553642405
oct663235276
9257645810
10114113214
1159460a46
12322718a6
131a845617
141122663c
15a0414c9
hex6cd3abe

114113214 has 48 divisors (see below), whose sum is σ = 265002192. Its totient is φ = 35361024.

The previous prime is 114113213. The next prime is 114113239. The reversal of 114113214 is 412311411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114113213) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23152 + ... + 27644.

It is an arithmetic number, because the mean of its divisors is an integer number (5520879).

Almost surely, 2114113214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114113214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132501096).

114113214 is an abundant number, since it is smaller than the sum of its proper divisors (150888978).

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

114113214 is a wasteful number, since it uses less digits than its factorization.

114113214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4598 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 114113214 is about 10682.3786676938. The cubic root of 114113214 is about 485.0412180225.

Adding to 114113214 its reverse (412311411), we get a palindrome (526424625).

The spelling of 114113214 in words is "one hundred fourteen million, one hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1494 2822 4233 4493 8466 8986 12699 13479 25398 26958 40437 76381 80874 152762 229143 372919 458286 687429 745838 1118757 1374858 2237514 3356271 6339623 6712542 12679246 19018869 38037738 57056607 114113214