Search a number
-
+
3199352130 = 23251322911941
BaseRepresentation
bin1011111010110010…
…0011110101000010
322020222010221001100
42332230203311002
523023013232010
61245245115230
7142166021142
oct27654436502
98228127040
103199352130
1113a1a50677
12753558b16
133bcaa2990
14224c9a922
1513ad212c0
hexbeb23d42

3199352130 has 96 divisors (see below), whose sum is σ = 8998058160. Its totient is φ = 784028160.

The previous prime is 3199352071. The next prime is 3199352161. The reversal of 3199352130 is 312539913.

3199352130 is a `hidden beast` number, since 3 + 19 + 93 + 521 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1187560521 + 2011791609 = 34461^2 + 44853^2 .

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, 261960 + ... + 273900.

Almost surely, 23199352130 is an apocalyptic number.

3199352130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3199352130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499029080).

3199352130 is an abundant number, since it is smaller than the sum of its proper divisors (5798706030).

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

3199352130 is a wasteful number, since it uses less digits than its factorization.

3199352130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 3199352130 is about 56562.8157891737. The cubic root of 3199352130 is about 1473.5131438487.

The spelling of 3199352130 in words is "three billion, one hundred ninety-nine million, three hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 229 234 390 458 585 687 1145 1170 1374 2061 2290 2977 3435 4122 5954 6870 8931 10305 11941 14885 17862 20610 23882 26793 29770 35823 44655 53586 59705 71646 89310 107469 119410 133965 155233 179115 214938 267930 310466 358230 465699 537345 776165 931398 1074690 1397097 1552330 2328495 2734489 2794194 4656990 5468978 6985485 8203467 13672445 13970970 16406934 24610401 27344890 35548357 41017335 49220802 71096714 82034670 106645071 123052005 177741785 213290142 246104010 319935213 355483570 533225355 639870426 1066450710 1599676065 3199352130