Search a number
-
+
2123330000 = 24541197199
BaseRepresentation
bin111111010001111…
…0111000111010000
312110222102100011212
41332203313013100
513322033030000
6550410155252
7103422002321
oct17643670720
95428370155
102123330000
1199a623290
124b3122b28
1327ab98bac
14162000448
15c6624c35
hex7e8f71d0

2123330000 has 200 divisors, whose sum is σ = 5694427200. Its totient is φ = 760320000.

The previous prime is 2123329997. The next prime is 2123330021. The reversal of 2123330000 is 333212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10669901 + ... + 10670099.

It is an arithmetic number, because the mean of its divisors is an integer number (28472136).

Almost surely, 22123330000 is an apocalyptic number.

2123330000 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 2123330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847213600).

2123330000 is an abundant number, since it is smaller than the sum of its proper divisors (3571097200).

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

2123330000 is a wasteful number, since it uses less digits than its factorization.

2123330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2123330000 is about 46079.6050330295. The cubic root of 2123330000 is about 1285.3039195944.

Adding to 2123330000 its reverse (333212), we get a palindrome (2123663212).

The spelling of 2123330000 in words is "two billion, one hundred twenty-three million, three hundred thirty thousand".