Search a number
-
+
115222443120 = 243252343316069
BaseRepresentation
bin110101101001111001…
…0101111010001110000
3102000102001100120112100
41223103302233101300
53341433421134440
6124533224500400
711216214415101
oct1532362572160
9360361316470
10115222443120
1144958079a04
121a3b791a700
13ab33470235
145810a2a3a8
152ee583d230
hex1ad3caf470

115222443120 has 240 divisors, whose sum is σ = 404737220160. Its totient is φ = 29320372224.

The previous prime is 115222443103. The next prime is 115222443139. The reversal of 115222443120 is 21344222511.

115222443120 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 224 + 431 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1152224431202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7162446 + ... + 7178514.

It is an arithmetic number, because the mean of its divisors is an integer number (1686405084).

Almost surely, 2115222443120 is an apocalyptic number.

115222443120 is a gapful number since it is divisible by the number (10) 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 115222443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368610080).

115222443120 is an abundant number, since it is smaller than the sum of its proper divisors (289514777040).

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

115222443120 is a wasteful number, since it uses less digits than its factorization.

115222443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16544 (or 16535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 115222443120 its reverse (21344222511), we get a palindrome (136566665631).

The spelling of 115222443120 in words is "one hundred fifteen billion, two hundred twenty-two million, four hundred forty-three thousand, one hundred twenty".