Search a number
-
+
218256821844 = 22334075338441
BaseRepresentation
bin1100101101000100011…
…1101100111001010100
3202212100200201022212020
43023101013230321110
512033442221244334
6244133225053140
721524415242565
oct3132107547124
9685320638766
10218256821844
1184620316716
12363719271b0
1317773810239
14a7c6a8216c
155a2615ce49
hex32d11ece54

218256821844 has 24 divisors (see below), whose sum is σ = 509415489408. Its totient is φ = 72730906560.

The previous prime is 218256821833. The next prime is 218256821863. The reversal of 218256821844 is 448128652812.

218256821844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2628337 + ... + 2710104.

It is an arithmetic number, because the mean of its divisors is an integer number (21225645392).

Almost surely, 2218256821844 is an apocalyptic number.

It is an amenable number.

218256821844 is an abundant number, since it is smaller than the sum of its proper divisors (291158667564).

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

218256821844 is a wasteful number, since it uses less digits than its factorization.

218256821844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341855 (or 5341853 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The spelling of 218256821844 in words is "two hundred eighteen billion, two hundred fifty-six million, eight hundred twenty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 3407 6814 10221 13628 20442 40884 5338441 10676882 16015323 21353764 32030646 64061292 18188068487 36376136974 54564205461 72752273948 109128410922 218256821844