Search a number
-
+
320023000200 = 233521971395383
BaseRepresentation
bin1001010100000101101…
…10110111010010001000
31010121000221201211100010
410222002312313102020
520220401342001300
6403003323311520
732056316422251
oct4520266672210
91117027654303
10320023000200
111137a2705752
125203307b5a0
13242411ca417
14116bc4d3b28
1584d046ea50
hex4a82db7488

320023000200 has 192 divisors, whose sum is σ = 1058996505600. Its totient is φ = 79709011200.

The previous prime is 320023000169. The next prime is 320023000211. The reversal of 320023000200 is 2000320023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611709 + ... + 1007091.

It is an arithmetic number, because the mean of its divisors is an integer number (5515606800).

Almost surely, 2320023000200 is an apocalyptic number.

320023000200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320023000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529498252800).

320023000200 is an abundant number, since it is smaller than the sum of its proper divisors (738973505400).

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

320023000200 is a wasteful number, since it uses less digits than its factorization.

320023000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395492 (or 395483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 320023000200 its reverse (2000320023), we get a palindrome (322023320223).

The spelling of 320023000200 in words is "three hundred twenty billion, twenty-three million, two hundred", and thus it is an aban number.