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14220221433210 = 2325132934925801
BaseRepresentation
bin1100111011101110011100…
…1111110100010101111010
31212100102212200101212202200
43032323213033310111322
53330441003141330320
650124402440411030
72665243225554252
oct316734717642572
955312780355680
1014220221433210
114592842307961
121717b83476a76
137c1c6579a900
14372395dd6962
15199d7977d290
hexceee73f457a

14220221433210 has 72 divisors (see below), whose sum is σ = 40035392693244. Its totient is φ = 3500362195200.

The previous prime is 14220221433203. The next prime is 14220221433251. The reversal of 14220221433210 is 1233412202241.

14220221433210 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 221 + 433 + 2 + 1 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 551310705009 + 13668910728201 = 742503^2 + 3697149^2 .

It is a super-3 number, since 3×142202214332103 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 467447691 + ... + 467478110.

Almost surely, 214220221433210 is an apocalyptic number.

14220221433210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14220221433210 is an abundant number, since it is smaller than the sum of its proper divisors (25815171260034).

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

14220221433210 is a wasteful number, since it uses less digits than its factorization.

14220221433210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934925840 (or 934925824 counting only the distinct ones).

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

Adding to 14220221433210 its reverse (1233412202241), we get a palindrome (15453633635451).

The spelling of 14220221433210 in words is "fourteen trillion, two hundred twenty billion, two hundred twenty-one million, four hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 934925801 1869851602 2804777403 4674629005 5609554806 8414332209 9349258010 12154035413 14023887015 16828664418 24308070826 28047774030 36462106239 42071661045 60770177065 72924212478 84143322090 109386318717 121540354130 158002460369 182310531195 218772637434 316004920738 364621062390 474007381107 546931593585 790012301845 948014762214 1093863187170 1422022143321 1580024603690 2370036905535 2844044286642 4740073811070 7110110716605 14220221433210