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248332014 = 23371971487
BaseRepresentation
bin11101100110100…
…11111011101110
3122022021120111000
432303103323232
51002033111024
640350341130
76103534020
oct1663237356
9568246430
10248332014
111181a4577
126b1ba7a6
133c5aa428
1424da4010
1516c04cc9
hexecd3eee

248332014 has 128 divisors (see below), whose sum is σ = 674611200. Its totient is φ = 66134880.

The previous prime is 248331961. The next prime is 248332027. The reversal of 248332014 is 410233842.

248332014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 509679 + ... + 510165.

It is an arithmetic number, because the mean of its divisors is an integer number (5270400).

Almost surely, 2248332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337305600).

248332014 is an abundant number, since it is smaller than the sum of its proper divisors (426279186).

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

248332014 is a wasteful number, since it uses less digits than its factorization.

248332014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 248332014 is about 15758.5536772890. The cubic root of 248332014 is about 628.5563770550.

Adding to 248332014 its reverse (410233842), we get a palindrome (658565856).

The spelling of 248332014 in words is "two hundred forty-eight million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 71 114 126 133 142 171 189 213 266 342 378 399 426 487 497 513 639 798 974 994 1026 1197 1278 1349 1461 1491 1917 2394 2698 2922 2982 3409 3591 3834 4047 4383 4473 6818 7182 8094 8766 8946 9253 9443 10227 12141 13149 13419 18506 18886 20454 24282 26298 26838 27759 28329 30681 34577 36423 55518 56658 61362 64771 69154 72846 83277 84987 92043 103731 129542 166554 169974 184086 194313 207462 242039 249831 254961 311193 388626 484078 499662 509922 582939 622386 656963 726117 933579 1165878 1313926 1452234 1748817 1867158 1970889 2178351 3497634 3941778 4356702 4598741 5912667 6535053 9197482 11825334 13070106 13796223 17738001 27592446 35476002 41388669 82777338 124166007 248332014