Search a number
-
+
297130512 = 243721961109
BaseRepresentation
bin10001101101011…
…101101000010000
3202201002210102210
4101231131220100
51102031134022
645252312120
710235365500
oct2155355020
9681083383
10297130512
111427a4608
1283612640
1349734993
142b667a00
151b143a0c
hex11b5da10

297130512 has 240 divisors, whose sum is σ = 964075200. Its totient is φ = 78382080.

The previous prime is 297130511. The next prime is 297130517. The reversal of 297130512 is 215031792.

It is a super-2 number, since 2×2971305122 = 176573082322764288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 297130512.

It is not an unprimeable number, because it can be changed into a prime (297130511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2725914 + ... + 2726022.

It is an arithmetic number, because the mean of its divisors is an integer number (4016980).

Almost surely, 2297130512 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 297130512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482037600).

297130512 is an abundant number, since it is smaller than the sum of its proper divisors (666944688).

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

297130512 is a wasteful number, since it uses less digits than its factorization.

297130512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 297130512 is about 17237.4740608942. The cubic root of 297130512 is about 667.2917421822.

The spelling of 297130512 in words is "two hundred ninety-seven million, one hundred thirty thousand, five hundred twelve".