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313440225 = 35273119259
BaseRepresentation
bin10010101011101…
…011011111100001
3210211210102011020
4102223223133201
51120220041400
651034040053
710524124620
oct2253533741
9724712136
10313440225
11150a2430a
1288b79029
134cc254b7
142d8b16b7
151c7b62a0
hex12aeb7e1

313440225 has 48 divisors (see below), whose sum is σ = 611389440. Its totient is φ = 138657600.

The previous prime is 313440217. The next prime is 313440247. The reversal of 313440225 is 522044313.

It is not a de Polignac number, because 313440225 - 23 = 313440217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313440195 and 313440204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6646 + ... + 25904.

It is an arithmetic number, because the mean of its divisors is an integer number (12737280).

Almost surely, 2313440225 is an apocalyptic number.

313440225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313440225 is a deficient number, since it is larger than the sum of its proper divisors (297949215).

313440225 is a wasteful number, since it uses less digits than its factorization.

313440225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19310 (or 19305 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 313440225 is about 17704.2431354746. The cubic root of 313440225 is about 679.2842996132.

Adding to 313440225 its reverse (522044313), we get a palindrome (835484538).

The spelling of 313440225 in words is "three hundred thirteen million, four hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 465 525 651 775 1085 2325 3255 5425 16275 19259 57777 96295 134813 288885 404439 481475 597029 674065 1444425 1791087 2022195 2985145 3370325 4179203 8955435 10110975 12537609 14925725 20896015 44777175 62688045 104480075 313440225