Search a number
-
+
233220011321220 = 22357211137179409719
BaseRepresentation
bin110101000001110011000011…
…111011011110011110000100
31010120202121121120201020001020
4311001303003323132132010
5221032034040344234340
62144003443310231140
7100060406202443400
oct6501630373363604
91116677546636036
10233220011321220
11683470623a3080
12221a7725ab54b0
13a019725389b61
144183ca197a100
151be68c37869d0
hexd41cc3ede784

233220011321220 has 1152 divisors, whose sum is σ = 842623036416000. Its totient is φ = 47655473725440.

The previous prime is 233220011321207. The next prime is 233220011321249. The reversal of 233220011321220 is 22123110022332.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 324367192021 + ... + 324367192739.

It is an arithmetic number, because the mean of its divisors is an integer number (731443608000).

Almost surely, 2233220011321220 is an apocalyptic number.

233220011321220 is a gapful number since it is divisible by the number (20) 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 233220011321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421311518208000).

233220011321220 is an abundant number, since it is smaller than the sum of its proper divisors (609403025094780).

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

233220011321220 is a wasteful number, since it uses less digits than its factorization.

233220011321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233220011321220 its reverse (22123110022332), we get a palindrome (255343121343552).

The spelling of 233220011321220 in words is "two hundred thirty-three trillion, two hundred twenty billion, eleven million, three hundred twenty-one thousand, two hundred twenty".