Search a number
-
+
2331424200 = 2335271732653
BaseRepresentation
bin1000101011110110…
…1011010111001000
320000110222121202110
42022331223113020
514233321033300
61023202302320
7111526531050
oct21275532710
96013877673
102331424200
11a97034566
125509579a0
132b2028461
141818cc560
15d9a2c550
hex8af6b5c8

2331424200 has 192 divisors, whose sum is σ = 8746047360. Its totient is φ = 501534720.

The previous prime is 2331424189. The next prime is 2331424211. The reversal of 2331424200 is 24241332.

It is an interprime number because it is at equal distance from previous prime (2331424189) and next prime (2331424211).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 55074 + ... + 87726.

It is an arithmetic number, because the mean of its divisors is an integer number (45552330).

Almost surely, 22331424200 is an apocalyptic number.

2331424200 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 2331424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373023680).

2331424200 is an abundant number, since it is smaller than the sum of its proper divisors (6414623160).

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

2331424200 is a wasteful number, since it uses less digits than its factorization.

2331424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32696 (or 32687 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2331424200 is about 48284.8237026915. The cubic root of 2331424200 is about 1325.9905634166.

Adding to 2331424200 its reverse (24241332), we get a palindrome (2355665532).

The spelling of 2331424200 in words is "two billion, three hundred thirty-one million, four hundred twenty-four thousand, two hundred".