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220141116 = 2232131732719
BaseRepresentation
bin11010001111100…
…01011000111100
3120100020022211200
431013301120330
5422324003431
633502215500
75312111556
oct1507613074
9510208750
10220141116
1110329a308
1261884590
13367b9a20
14213464d6
15144d6ee6
hexd1f163c

220141116 has 72 divisors (see below), whose sum is σ = 602958720. Its totient is φ = 67319424.

The previous prime is 220141099. The next prime is 220141127. The reversal of 220141116 is 611141022.

It is a super-2 number, since 2×2201411162 = 96924221907450912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79605 + ... + 82323.

Almost surely, 2220141116 is an apocalyptic number.

220141116 is a gapful number since it is divisible by the number (26) 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 220141116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301479360).

220141116 is an abundant number, since it is smaller than the sum of its proper divisors (382817604).

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

220141116 is a wasteful number, since it uses less digits than its factorization.

220141116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 220141116 is about 14837.1532309941. The cubic root of 220141116 is about 603.8101204228.

Adding to 220141116 its reverse (611141022), we get a palindrome (831282138).

The spelling of 220141116 in words is "two hundred twenty million, one hundred forty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 2719 3114 4498 5438 6228 6747 8157 8996 10876 13494 16314 20241 24471 26988 32628 35347 40482 48942 70694 80964 97884 106041 141388 212082 318123 424164 470387 636246 940774 1272492 1411161 1881548 2822322 4233483 5644644 6115031 8466966 12230062 16933932 18345093 24460124 36690186 55035279 73380372 110070558 220141116