Search a number
-
+
320200222222120 = 23531672163352909
BaseRepresentation
bin100100011001110000110110…
…0100000001010011100101000
31112222201211202000211211110011
41020303201230200022130220
5313432130023342101440
63053001541255301304
7124305463001355622
oct11063415440123450
91488654660754404
10320200222222120
11930311739294a9
122bab4b4667a834
131098899ca729a6
14590dab849dc12
1527042214129ea
hex123386c80a728

320200222222120 has 192 divisors, whose sum is σ = 759590158118400. Its totient is φ = 121349081525760.

The previous prime is 320200222222103. The next prime is 320200222222241. The reversal of 320200222222120 is 21222222002023.

It is a super-2 number, since 2×3202002222221202 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320200222222091 and 320200222222100.

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 47 ways as a sum of consecutive naturals, for example, 907140226 + ... + 907493134.

It is an arithmetic number, because the mean of its divisors is an integer number (3956198740200).

Almost surely, 2320200222222120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320200222222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379795079059200).

320200222222120 is an abundant number, since it is smaller than the sum of its proper divisors (439389935896280).

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

320200222222120 is a wasteful number, since it uses less digits than its factorization.

320200222222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353248 (or 353177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 320200222222120 its reverse (21222222002023), we get a palindrome (341422444224143).

The spelling of 320200222222120 in words is "three hundred twenty trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".