Search a number
-
+
2300232232320 = 273511613115741
BaseRepresentation
bin100001011110010000100…
…001100110110110000000
322010220022010202111120020
4201132100201212312000
5300141333422413240
64520413451413440
7325120620241521
oct41362041466600
98126263674506
102300232232320
11807583145720
12311973154280
13138bac524349
147d4907a4848
153ec7ac610d0
hex21790866d80

2300232232320 has 512 divisors, whose sum is σ = 8157219333120. Its totient is φ = 546631680000.

The previous prime is 2300232232301. The next prime is 2300232232349. The reversal of 2300232232320 is 232322320032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400664650 + ... + 400670390.

It is an arithmetic number, because the mean of its divisors is an integer number (15932069010).

Almost surely, 22300232232320 is an apocalyptic number.

2300232232320 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 2300232232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078609666560).

2300232232320 is an abundant number, since it is smaller than the sum of its proper divisors (5856987100800).

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

2300232232320 is a wasteful number, since it uses less digits than its factorization.

2300232232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 2300232232320 its reverse (232322320032), we get a palindrome (2532554552352).

The spelling of 2300232232320 in words is "two trillion, three hundred billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty".