Search a number
-
+
214315325200 = 2452535788313
BaseRepresentation
bin1100011110011000110…
…0000101011100010000
3202111012000002112221001
43013212030011130100
512002404210401300
6242242145111344
721324635130664
oct3074614053420
9674160075831
10214315325200
1182988460979
1235651928554
13172960634c2
14a5313da8a4
1558950e216a
hex31e6305710

214315325200 has 30 divisors (see below), whose sum is σ = 514892569754. Its totient is φ = 85726129920.

The previous prime is 214315325153. The next prime is 214315325209. The reversal of 214315325200 is 2523513412.

It can be written as a sum of positive squares in 3 ways, for example, as 55860377104 + 158454948096 = 236348^2 + 398064^2 .

It is not an unprimeable number, because it can be changed into a prime (214315325209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267893757 + ... + 267894556.

Almost surely, 2214315325200 is an apocalyptic number.

214315325200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214315325200 is an abundant number, since it is smaller than the sum of its proper divisors (300577244554).

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

214315325200 is a wasteful number, since it uses less digits than its factorization.

214315325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535788331 (or 535788320 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 214315325200 its reverse (2523513412), we get a palindrome (216838838612).

The spelling of 214315325200 in words is "two hundred fourteen billion, three hundred fifteen million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 535788313 1071576626 2143153252 2678941565 4286306504 5357883130 8572613008 10715766260 13394707825 21431532520 26789415650 42863065040 53578831300 107157662600 214315325200