Search a number
-
+
2323222312032 = 2533192919132551
BaseRepresentation
bin100001110011101010110…
…101110011010001100000
322020002122100122120002000
4201303222311303101200
5301030424402441112
64535135032524000
7326563420553136
oct41635265632140
98202570576060
102323222312032
118163004798a6
1231630a550600
1313b10451bccb
1480631c2d756
15406742617dc
hex21cead73460

2323222312032 has 384 divisors, whose sum is σ = 7385406336000. Its totient is φ = 707703091200.

The previous prime is 2323222311967. The next prime is 2323222312039. The reversal of 2323222312032 is 2302132223232.

2323222312032 is a `hidden beast` number, since 2 + 3 + 232 + 223 + 1 + 203 + 2 = 666.

It is a super-2 number, since 2×23232223120322 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2323222311987 and 2323222312005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323222312039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 910709157 + ... + 910711707.

It is an arithmetic number, because the mean of its divisors is an integer number (19232829000).

Almost surely, 22323222312032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323222312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692703168000).

2323222312032 is an abundant number, since it is smaller than the sum of its proper divisors (5062184023968).

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

2323222312032 is a wasteful number, since it uses less digits than its factorization.

2323222312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2323222312032 its reverse (2302132223232), we get a palindrome (4625354535264).

The spelling of 2323222312032 in words is "two trillion, three hundred twenty-three billion, two hundred twenty-two million, three hundred twelve thousand, thirty-two".