Search a number
-
+
2323320233232 = 2432337412715119
BaseRepresentation
bin100001110011110000101…
…011010101110100010000
322020002220011220110201010
4201303300223111310100
5301031124434430412
64535152451410520
7326566020066525
oct41636053256420
98202804813633
102323320233232
11816350780509
123163372b3a40
1313b11b8b554b
1480640c3d14c
154067cb5533c
hex21cf0ad5d10

2323320233232 has 320 divisors, whose sum is σ = 6614616637440. Its totient is φ = 700437196800.

The previous prime is 2323320233231. The next prime is 2323320233233.

2323320233232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2323320233231) and next prime (2323320233233).

It is a super-2 number, since 2×23233202332322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2323320233232.

It is not an unprimeable number, because it can be changed into a prime (2323320233231) 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, 453859569 + ... + 453864687.

It is an arithmetic number, because the mean of its divisors is an integer number (20670676992).

Almost surely, 22323320233232 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 2323320233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307308318720).

2323320233232 is an abundant number, since it is smaller than the sum of its proper divisors (4291296404208).

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

2323320233232 is a wasteful number, since it uses less digits than its factorization.

2323320233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 2323320 and 233232, that added together give a palindrome (2556552).

The spelling of 2323320233232 in words is "two trillion, three hundred twenty-three billion, three hundred twenty million, two hundred thirty-three thousand, two hundred thirty-two".