Search a number
-
+
214801474552218 = 23211933415252901
BaseRepresentation
bin110000110101110001011101…
…100101101000000110011010
31001011112211011002022202200200
4300311301131211220012122
5211123301404441132333
62040502233553443030
763146615532166311
oct6065613545500632
91034484132282620
10214801474552218
1162495880581624
1220111b6b270476
1392b18cc8117a8
143b086381b5278
1519c772c94dc13
hexc35c5d96819a

214801474552218 has 12 divisors (see below), whose sum is σ = 465403194863178. Its totient is φ = 71600491517400.

The previous prime is 214801474552177. The next prime is 214801474552219. The reversal of 214801474552218 is 812255474108412.

214801474552218 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 0 + 1 + 4 + 74 + 552 + 2 + 18 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154363802008329 + 60437672543889 = 12424323^2 + 7774167^2 .

It is a super-2 number, since 2×2148014745522182 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (214801474552219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5966707626433 + ... + 5966707626468.

Almost surely, 2214801474552218 is an apocalyptic number.

214801474552218 is an abundant number, since it is smaller than the sum of its proper divisors (250601720310960).

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

214801474552218 is a wasteful number, since it uses less digits than its factorization.

214801474552218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933415252909 (or 11933415252906 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 214801474552218 in words is "two hundred fourteen trillion, eight hundred one billion, four hundred seventy-four million, five hundred fifty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 11933415252901 23866830505802 35800245758703 71600491517406 107400737276109 214801474552218