Search a number
-
+
23223422432232 = 233211377142126513
BaseRepresentation
bin1010100011111000111111…
…10110000011001111101000
310001020010201020110022021100
411101330133312003033220
511020443032120312412
6121220405403441400
74614560025433311
oct521743766031750
9101203636408240
1023223422432232
117443aa8590a20
122730a31226260
13cc5c61888a59
145a403bc87608
152a4163ea3edc
hex151f1fd833e8

23223422432232 has 384 divisors, whose sum is σ = 71634074353920. Its totient is φ = 6734472192000.

The previous prime is 23223422432209. The next prime is 23223422432257.

It is a happy number.

23223422432232 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 3 + 422 + 4 + 3 + 223 + 2 = 666.

23223422432232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875912608 + ... + 875939120.

It is an arithmetic number, because the mean of its divisors is an integer number (186547068630).

Almost surely, 223223422432232 is an apocalyptic number.

23223422432232 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 23223422432232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35817037176960).

23223422432232 is an abundant number, since it is smaller than the sum of its proper divisors (48410651921688).

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

23223422432232 is a wasteful number, since it uses less digits than its factorization.

23223422432232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27065 (or 27058 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 2322342 and 2432232, that added together give a palindrome (4754574).

The spelling of 23223422432232 in words is "twenty-three trillion, two hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, two hundred thirty-two".