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2112200116 = 22134147107197
BaseRepresentation
bin111110111100101…
…1001110110110100
312110012110212211221
41331321121312310
513311210400431
6545331440124
7103225255555
oct17571316664
95405425757
102112200116
11994311234
124ab456044
1327879cc70
1416074432c
15c5677111
hex7de59db4

2112200116 has 96 divisors (see below), whose sum is σ = 4224794112. Its totient is φ = 917468160.

The previous prime is 2112200107. The next prime is 2112200117. The reversal of 2112200116 is 6110022112.

It is a super-2 number, since 2×21122001162 = 8922778660060826912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112200116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112200117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10721730 + ... + 10721926.

It is an arithmetic number, because the mean of its divisors is an integer number (44008272).

Almost surely, 22112200116 is an apocalyptic number.

2112200116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2112200116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2112200116 is a wasteful number, since it uses less digits than its factorization.

2112200116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2112200116 is about 45958.6783534949. The cubic root of 2112200116 is about 1283.0542533789.

Adding to 2112200116 its reverse (6110022112), we get a palindrome (8222222228).

The spelling of 2112200116 in words is "two billion, one hundred twelve million, two hundred thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 41 47 52 82 94 107 164 188 197 214 394 428 533 611 788 1066 1222 1391 1927 2132 2444 2561 2782 3854 4387 5029 5122 5564 7708 8077 8774 9259 10058 10244 16154 17548 18518 20116 21079 25051 32308 37036 42158 50102 57031 65377 84316 100204 105001 114062 120367 130754 206189 210002 228124 240734 261508 274027 379619 412378 420004 481468 548054 759238 824756 864239 990713 1096108 1518476 1728478 1981426 2680457 3456956 3962852 4935047 5360914 9870094 10721828 11235107 12879269 19740188 22470214 25758538 40619233 44940428 51517076 81238466 162476932 528050029 1056100058 2112200116