Search a number
-
+
220213233003330 = 23557193718415511
BaseRepresentation
bin110010000100100001100011…
…100001110010101101000010
31001212201011211211121110200000
4302010201203201302231002
5212330433200122101310
62100204321310540430
764245611126063160
oct6204414341625502
91055634754543600
10220213233003330
11641919a90a0876
1220846972207716
1395b5032304a68
143c5453d622230
151a6d3b8ec44c0
hexc84863872b42

220213233003330 has 384 divisors, whose sum is σ = 733603282513920. Its totient is φ = 46396477866240.

The previous prime is 220213233003263. The next prime is 220213233003383. The reversal of 220213233003330 is 33300332312022.

220213233003330 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 3 + 23 + 300 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220213233003294 and 220213233003303.

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 191 ways as a sum of consecutive naturals, for example, 2750275 + ... + 21165785.

It is an arithmetic number, because the mean of its divisors is an integer number (1910425214880).

Almost surely, 2220213233003330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220213233003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366801641256960).

220213233003330 is an abundant number, since it is smaller than the sum of its proper divisors (513390049510590).

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

220213233003330 is a wasteful number, since it uses less digits than its factorization.

220213233003330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415596 (or 18415584 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 220213233003330 its reverse (33300332312022), we get a palindrome (253513565315352).

The spelling of 220213233003330 in words is "two hundred twenty trillion, two hundred thirteen billion, two hundred thirty-three million, three thousand, three hundred thirty".