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316228512 = 25319916553
BaseRepresentation
bin10010110110010…
…100001110100000
3211001001001222010
4102312110032200
51121423303022
651213512520
710556620005
oct2266241640
9731031863
10316228512
11152559186
1289aa2740
1350690682
142ddd98ac
151cb6750c
hex12d943a0

316228512 has 48 divisors (see below), whose sum is σ = 834321600. Its totient is φ = 104873472.

The previous prime is 316228487. The next prime is 316228513. The reversal of 316228512 is 215822613.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 316228512.

It is not an unprimeable number, because it can be changed into a prime (316228513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10828 + ... + 27380.

It is an arithmetic number, because the mean of its divisors is an integer number (17381700).

Almost surely, 2316228512 is an apocalyptic number.

316228512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417160800).

316228512 is an abundant number, since it is smaller than the sum of its proper divisors (518093088).

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

316228512 is a wasteful number, since it uses less digits than its factorization.

316228512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16757 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 316228512 is about 17782.8150752349. The cubic root of 316228512 is about 681.2926047815.

The spelling of 316228512 in words is "three hundred sixteen million, two hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 16553 19104 33106 49659 66212 99318 132424 198636 264848 397272 529696 794544 1589088 3294047 6588094 9882141 13176188 19764282 26352376 39528564 52704752 79057128 105409504 158114256 316228512