Search a number
-
+
2243031123432 = 23311294761710103
BaseRepresentation
bin100000101000111111000…
…100101100010111101000
321221102122200210002121210
4200220333010230113220
5243222211431422212
64434233445233120
7321024254653311
oct40507704542750
97842580702553
102243031123432
1179529a658a10
1230286a7027a0
131336948c6758
147a7c5927608
153d52e0c953c
hex20a3f12c5e8

2243031123432 has 256 divisors, whose sum is σ = 6474061209600. Its totient is φ = 641200609280.

The previous prime is 2243031123343. The next prime is 2243031123439. The reversal of 2243031123432 is 2343211303422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2243031123432.

It is not an unprimeable number, because it can be changed into a prime (2243031123439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222011293 + ... + 222021395.

It is an arithmetic number, because the mean of its divisors is an integer number (25289301600).

Almost surely, 22243031123432 is an apocalyptic number.

2243031123432 is a gapful number since it is divisible by the number (22) 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 2243031123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237030604800).

2243031123432 is an abundant number, since it is smaller than the sum of its proper divisors (4231030086168).

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

2243031123432 is a wasteful number, since it uses less digits than its factorization.

2243031123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2243031123432 its reverse (2343211303422), we get a palindrome (4586242426854).

The spelling of 2243031123432 in words is "two trillion, two hundred forty-three billion, thirty-one million, one hundred twenty-three thousand, four hundred thirty-two".