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2212301112 = 2337314211009
BaseRepresentation
bin1000001111011101…
…0000100100111000
312201011211112121020
42003313100210320
514012322113422
61003305142440
7105552151320
oct20367204470
95634745536
102212301112
11a3587162a
12518a8aa20
1329344a718
1416db60280
15ce34b95c
hex83dd0938

2212301112 has 128 divisors (see below), whose sum is σ = 6546739200. Its totient is φ = 609638400.

The previous prime is 2212301099. The next prime is 2212301123. The reversal of 2212301112 is 2111032122.

It is a junction number, because it is equal to n+sod(n) for n = 2212301091 and 2212301100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192064 + ... + 2193072.

It is an arithmetic number, because the mean of its divisors is an integer number (51146400).

Almost surely, 22212301112 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 2212301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273369600).

2212301112 is an abundant number, since it is smaller than the sum of its proper divisors (4334438088).

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

2212301112 is a wasteful number, since it uses less digits than its factorization.

2212301112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2212301112 is about 47035.1051024658. The cubic root of 2212301112 is about 1303.0109915245.

Adding to 2212301112 its reverse (2111032122), we get a palindrome (4323333234).

The spelling of 2212301112 in words is "two billion, two hundred twelve million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 421 434 651 744 842 868 1009 1263 1302 1684 1736 2018 2526 2604 2947 3027 3368 4036 5052 5208 5894 6054 7063 8072 8841 10104 11788 12108 13051 14126 17682 21189 23576 24216 26102 28252 31279 35364 39153 42378 52204 56504 62558 70728 78306 84756 91357 93837 104408 125116 156612 169512 182714 187674 218953 250232 274071 313224 365428 375348 424789 437906 548142 656859 730856 750696 849578 875812 1096284 1274367 1313718 1699156 1751624 2192568 2548734 2627436 2973523 3398312 5097468 5254872 5947046 8920569 10194936 11894092 13168459 17841138 23788184 26336918 35682276 39505377 52673836 71364552 79010754 92179213 105347672 158021508 184358426 276537639 316043016 368716852 553075278 737433704 1106150556 2212301112