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314220105 = 32541732333
BaseRepresentation
bin10010101110101…
…001111001001001
3210220021000221200
4102232221321021
51120420020410
651102454413
710533553413
oct2256517111
9726230850
10314220105
11151407241
1289294409
1350139474
142da359b3
151c8bc3c0
hex12ba9e49

314220105 has 48 divisors (see below), whose sum is σ = 565817616. Its totient is φ = 161187840.

The previous prime is 314220091. The next prime is 314220113. The reversal of 314220105 is 501022413.

It can be written as a sum of positive squares in 8 ways, for example, as 47485881 + 266734224 = 6891^2 + 16332^2 .

It is not a de Polignac number, because 314220105 - 26 = 314220041 is a prime.

It is a super-2 number, since 2×3142201052 = 197468548772422050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133519 + ... + 135851.

It is an arithmetic number, because the mean of its divisors is an integer number (11787867).

Almost surely, 2314220105 is an apocalyptic number.

It is an amenable number.

314220105 is a deficient number, since it is larger than the sum of its proper divisors (251597511).

314220105 is a wasteful number, since it uses less digits than its factorization.

314220105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314220105 is about 17726.2546805579. The cubic root of 314220105 is about 679.8472155303.

Adding to 314220105 its reverse (501022413), we get a palindrome (815242518).

The spelling of 314220105 in words is "three hundred fourteen million, two hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 41 45 73 123 205 219 365 369 615 657 1095 1845 2333 2993 3285 6999 8979 11665 14965 20997 26937 34995 44895 95653 104985 134685 170309 286959 478265 510927 851545 860877 1434795 1532781 2554635 4304385 6982669 7663905 20948007 34913345 62844021 104740035 314220105