Search a number
-
+
2324050252020 = 223457289328961
BaseRepresentation
bin100001110100011100001…
…100001001000011110100
322020011210001120021020000
4201310130030021003310
5301034123331031040
64535353130311300
7326623063125300
oct41643414110364
98204701507200
102324050252020
11816695863422
123164bb888530
1313b206c05323
14806adb8cd00
15406c1ca7130
hex21d1c3090f4

2324050252020 has 360 divisors, whose sum is σ = 8576256454920. Its totient is φ = 525241221120.

The previous prime is 2324050251883. The next prime is 2324050252037. The reversal of 2324050252020 is 202520504232.

2324050252020 is a `hidden beast` number, since 2 + 3 + 2 + 405 + 0 + 252 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3101598864 + 2320948653156 = 55692^2 + 1523466^2 .

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 6900340 + ... + 7229300.

It is an arithmetic number, because the mean of its divisors is an integer number (23822934597).

Almost surely, 22324050252020 is an apocalyptic number.

2324050252020 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 2324050252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288128227460).

2324050252020 is an abundant number, since it is smaller than the sum of its proper divisors (6252206202900).

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

2324050252020 is a wasteful number, since it uses less digits than its factorization.

2324050252020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329085 (or 329067 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 2324050252020 its reverse (202520504232), we get a palindrome (2526570756252).

The spelling of 2324050252020 in words is "two trillion, three hundred twenty-four billion, fifty million, two hundred fifty-two thousand, twenty".