Search a number
-
+
220341143022 = 23711313476451
BaseRepresentation
bin1100110100110101011…
…0110000010111101110
3210001201221201210222220
43031031112300113232
512102224313034042
6245120123220210
721630154545660
oct3151526602756
9701657653886
10220341143022
118549a916000
1236853977666
1317a1659b790
14a94380a530
155ae91298ec
hex334d5b05ee

220341143022 has 256 divisors, whose sum is σ = 609362804736. Its totient is φ = 51697008000.

The previous prime is 220341143003. The next prime is 220341143027.

It is a happy number.

220341143022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220341142983 and 220341143001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220341143027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34152897 + ... + 34159347.

It is an arithmetic number, because the mean of its divisors is an integer number (2380323456).

Almost surely, 2220341143022 is an apocalyptic number.

220341143022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220341143022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304681402368).

220341143022 is an abundant number, since it is smaller than the sum of its proper divisors (389021661714).

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

220341143022 is a wasteful number, since it uses less digits than its factorization.

220341143022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 220341 and 143022, that added together give a palindrome (363363).

The spelling of 220341143022 in words is "two hundred twenty billion, three hundred forty-one million, one hundred forty-three thousand, twenty-two".