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315224540 = 225173312801
BaseRepresentation
bin10010110010011…
…111000111011100
3210222011001202222
4102302133013130
51121144141130
651140204512
710545235661
oct2262370734
9728131688
10315224540
11151a32954
1289699738
13503cb6c7
142dc17a68
151ca19ce5
hex12c9f1dc

315224540 has 48 divisors (see below), whose sum is σ = 703279584. Its totient is φ = 118272000.

The previous prime is 315224537. The next prime is 315224543. The reversal of 315224540 is 45422513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315224537) and next prime (315224543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315224543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111140 + ... + 113940.

It is an arithmetic number, because the mean of its divisors is an integer number (14651658).

Almost surely, 2315224540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315224540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351639792).

315224540 is an abundant number, since it is smaller than the sum of its proper divisors (388055044).

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

315224540 is a wasteful number, since it uses less digits than its factorization.

315224540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 315224540 is about 17754.5639202995. The cubic root of 315224540 is about 680.5708441849.

The spelling of 315224540 in words is "three hundred fifteen million, two hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 331 340 662 1324 1655 2801 3310 5602 5627 6620 11204 11254 14005 22508 28010 28135 47617 56020 56270 95234 112540 190468 238085 476170 927131 952340 1854262 3708524 4635655 9271310 15761227 18542620 31522454 63044908 78806135 157612270 315224540