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2114410212 = 22321938563
BaseRepresentation
bin111111000000111…
…0101011011100100
312110100122011112100
41332001311123210
513312242111322
6545451052100
7103253122155
oct17601653344
95410564470
102114410212
11995590762
124b0141030
13279094c05
14160b5b92c
15c5961dac
hex7e0756e4

2114410212 has 72 divisors (see below), whose sum is σ = 5642305760. Its totient is φ = 667630512.

The previous prime is 2114410169. The next prime is 2114410219. The reversal of 2114410212 is 2120144112.

2114410212 is a `hidden beast` number, since 2 + 11 + 441 + 0 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2114410219) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 242643 + ... + 251205.

Almost surely, 22114410212 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 2114410212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821152880).

2114410212 is an abundant number, since it is smaller than the sum of its proper divisors (3527895548).

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

2114410212 is a wasteful number, since it uses less digits than its factorization.

2114410212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114410212 is about 45982.7164486832. The cubic root of 2114410212 is about 1283.5016043966.

Adding to 2114410212 its reverse (2120144112), we get a palindrome (4234554324).

The spelling of 2114410212 in words is "two billion, one hundred fourteen million, four hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 6859 8563 12996 13718 17126 20577 25689 27436 34252 41154 51378 61731 77067 82308 102756 123462 154134 162697 246924 308268 325394 488091 650788 976182 1464273 1952364 2928546 3091243 5857092 6182486 9273729 12364972 18547458 27821187 37094916 55642374 58733617 111284748 117467234 176200851 234934468 352401702 528602553 704803404 1057205106 2114410212