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14225196510 = 2345710923017
BaseRepresentation
bin11010011111110001…
…10100010111011110
31100201101012212010000
431033320310113132
5213113122242020
610311315155130
71012341114060
oct151770642736
940641185100
1014225196510
11603a830758
12290bba5aa6
131459178955
1498d377730
15583cb8090
hex34fe345de

14225196510 has 160 divisors (see below), whose sum is σ = 44117219520. Its totient is φ = 3221503488.

The previous prime is 14225196509. The next prime is 14225196547. The reversal of 14225196510 is 1569152241.

14225196510 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 51 + 96 + 510 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 606522 + ... + 629538.

It is an arithmetic number, because the mean of its divisors is an integer number (275732622).

Almost surely, 214225196510 is an apocalyptic number.

14225196510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14225196510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22058609760).

14225196510 is an abundant number, since it is smaller than the sum of its proper divisors (29892023010).

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

14225196510 is a wasteful number, since it uses less digits than its factorization.

14225196510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23152 (or 23143 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 14225196510 in words is "fourteen billion, two hundred twenty-five million, one hundred ninety-six thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 109 126 135 162 189 210 218 270 315 327 378 405 545 567 630 654 763 810 945 981 1090 1134 1526 1635 1890 1962 2289 2835 2943 3270 3815 4578 4905 5670 5886 6867 7630 8829 9810 11445 13734 14715 17658 20601 22890 23017 29430 34335 41202 44145 46034 61803 68670 69051 88290 103005 115085 123606 138102 161119 206010 207153 230170 309015 322238 345255 414306 483357 618030 621459 690510 805595 966714 1035765 1242918 1450071 1611190 1864377 2071530 2416785 2508853 2900142 3107295 3728754 4350213 4833570 5017706 6214590 7250355 7526559 8700426 9321885 12544265 13050639 14500710 15053118 17561971 18643770 21751065 22579677 25088530 26101278 35123942 37632795 43502130 45159354 52685913 65253195 67739031 75265590 87809855 105371826 112898385 130506390 135478062 158057739 175619710 203217093 225796770 263429565 316115478 338695155 406434186 474173217 526859130 677390310 790288695 948346434 1016085465 1422519651 1580577390 2032170930 2370866085 2845039302 4741732170 7112598255 14225196510