Search a number
-
+
214524350112 = 2532234628647
BaseRepresentation
bin1100011111001010100…
…1011100111010100000
3202111201120102010012110
43013302221130322200
512003321213200422
6242315013155320
721333053614032
oct3076251347240
9674646363173
10214524350112
1182a85448436
12356ab92bb40
13172ca45a597
14a55108bc52
1558a863060c
hex31f2a5cea0

214524350112 has 24 divisors (see below), whose sum is σ = 563126419296. Its totient is φ = 71508116672.

The previous prime is 214524350101. The next prime is 214524350113. The reversal of 214524350112 is 211053425412.

214524350112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214524350112.

It is not an unprimeable number, because it can be changed into a prime (214524350113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1117314228 + ... + 1117314419.

It is an arithmetic number, because the mean of its divisors is an integer number (23463600804).

Almost surely, 2214524350112 is an apocalyptic number.

It is an amenable number.

214524350112 is an abundant number, since it is smaller than the sum of its proper divisors (348602069184).

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

214524350112 is a wasteful number, since it uses less digits than its factorization.

214524350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234628660 (or 2234628652 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 214524350112 its reverse (211053425412), we get a palindrome (425577775524).

The spelling of 214524350112 in words is "two hundred fourteen billion, five hundred twenty-four million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2234628647 4469257294 6703885941 8938514588 13407771882 17877029176 26815543764 35754058352 53631087528 71508116704 107262175056 214524350112