Search a number
-
+
23223244232232 = 233211233433509571
BaseRepresentation
bin1010100011111000101010…
…01110010001011000101000
310001020010020211010210211100
411101330111032101120220
511020442201010412412
6121220340000201400
74614552432652632
oct521742516213050
9101203224123740
1023223244232232
117443a16a386a0
1227309a1609260
13cc5c33995275
145a402233ba52
152a4153503edc
hex151f15391628

23223244232232 has 384 divisors, whose sum is σ = 69324644188800. Its totient is φ = 6965006745600.

The previous prime is 23223244232213. The next prime is 23223244232233.

It is a happy number.

23223244232232 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 3 + 2 + 4 + 423 + 223 + 2 = 666.

23223244232232 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 not an unprimeable number, because it can be changed into a prime (23223244232233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40671180507 + ... + 40671181077.

It is an arithmetic number, because the mean of its divisors is an integer number (180532927575).

Almost surely, 223223244232232 is an apocalyptic number.

23223244232232 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 23223244232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34662322094400).

23223244232232 is an abundant number, since it is smaller than the sum of its proper divisors (46101399956568).

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

23223244232232 is a wasteful number, since it uses less digits than its factorization.

23223244232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1762 counting only the distinct ones).

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

It can be divided in two parts, 2322324 and 4232232, that added together give a palindrome (6554556).

The spelling of 23223244232232 in words is "twenty-three trillion, two hundred twenty-three billion, two hundred forty-four million, two hundred thirty-two thousand, two hundred thirty-two".