Search a number
-
+
115930022208 = 26371113738263
BaseRepresentation
bin110101111110111110…
…1111100000101000000
3102002020100210022120020
41223331331330011000
53344411041202313
6125131342413440
711242565633640
oct1537575740500
9362210708506
10115930022208
1145190525610
121a574891280
13ac16c342a0
14587a9b8520
153037a0b323
hex1afdf7c140

115930022208 has 448 divisors, whose sum is σ = 417527427072. Its totient is φ = 27411333120.

The previous prime is 115930022189. The next prime is 115930022231. The reversal of 115930022208 is 802220039511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×1159300222084 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14025885 + ... + 14034147.

It is an arithmetic number, because the mean of its divisors is an integer number (931980864).

Almost surely, 2115930022208 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 115930022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208763713536).

115930022208 is an abundant number, since it is smaller than the sum of its proper divisors (301597404864).

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

115930022208 is a wasteful number, since it uses less digits than its factorization.

115930022208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 115930022208 in words is "one hundred fifteen billion, nine hundred thirty million, twenty-two thousand, two hundred eight".