Search a number
-
+
15116512220 = 22541153112041
BaseRepresentation
bin11100001010000001…
…11010101111011100
31110000111101101101222
432011000322233130
5221424311342340
610535555152512
71043413143125
oct160500725734
943014341358
1015116512220
116457971407
122b1a5a5738
13156ba215b4
14a358b304c
155d717b8b5
hex38503abdc

15116512220 has 48 divisors (see below), whose sum is σ = 32542878816. Its totient is φ = 5894784000.

The previous prime is 15116512207. The next prime is 15116512253. The reversal of 15116512220 is 2221561151.

15116512220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15116512220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249400 + ... + 1261440.

It is an arithmetic number, because the mean of its divisors is an integer number (677976642).

Almost surely, 215116512220 is an apocalyptic number.

15116512220 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 15116512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271439408).

15116512220 is an abundant number, since it is smaller than the sum of its proper divisors (17426366596).

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

15116512220 is a wasteful number, since it uses less digits than its factorization.

15116512220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13622 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 15116512220 in words is "fifteen billion, one hundred sixteen million, five hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1531 3062 6124 7655 12041 15310 24082 30620 48164 60205 62771 120410 125542 240820 251084 313855 493681 627710 987362 1255420 1974724 2468405 4936810 9873620 18434771 36869542 73739084 92173855 184347710 368695420 755825611 1511651222 3023302444 3779128055 7558256110 15116512220