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14221046250 = 232543533581
BaseRepresentation
bin11010011111010001…
…11111000111101010
31100201002102000000200
431033220333013222
5213111041440000
610311050213030
71012260620145
oct151750770752
940632360020
1014221046250
116038456594
12290a724176
131458354888
1498c9b705c
15583748500
hex34fa3f1ea

14221046250 has 120 divisors (see below), whose sum is σ = 38622864852. Its totient is φ = 3780480000.

The previous prime is 14221046233. The next prime is 14221046263. The reversal of 14221046250 is 5264012241.

14221046250 is a `hidden beast` number, since 1 + 4 + 22 + 10 + 4 + 625 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 159592689 + 14061453561 = 12633^2 + 118581^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3969460 + ... + 3973040.

Almost surely, 214221046250 is an apocalyptic number.

14221046250 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 14221046250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311432426).

14221046250 is an abundant number, since it is smaller than the sum of its proper divisors (24401818602).

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

14221046250 is a wasteful number, since it uses less digits than its factorization.

14221046250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14221046250 its reverse (5264012241), we get a palindrome (19485058491).

The spelling of 14221046250 in words is "fourteen billion, two hundred twenty-one million, forty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 353 375 450 625 706 750 1059 1125 1250 1765 1875 2118 2250 3177 3530 3581 3750 5295 5625 6354 7162 8825 10590 10743 11250 15885 17650 17905 21486 26475 31770 32229 35810 44125 52950 53715 64458 79425 88250 89525 107430 132375 158850 161145 179050 220625 264750 268575 322290 397125 441250 447625 537150 661875 794250 805725 895250 1264093 1323750 1342875 1611450 1985625 2238125 2528186 2685750 3792279 3971250 4028625 4476250 6320465 6714375 7584558 8057250 11376837 12640930 13428750 18961395 20143125 22753674 31602325 37922790 40286250 56884185 63204650 94806975 113768370 158011625 189613950 284420925 316023250 474034875 568841850 790058125 948069750 1422104625 1580116250 2370174375 2844209250 4740348750 7110523125 14221046250