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2204471412 = 2232113133539
BaseRepresentation
bin1000001101100101…
…1001000001110100
312200122002202021100
42003121121001310
514003321041122
61002425250100
7105425461233
oct20331310164
95618082240
102204471412
11a31404000
12516333930
13291938970
1416cac2b1a
15cd801aac
hex83659074

2204471412 has 144 divisors (see below), whose sum is σ = 6602581440. Its totient is φ = 616461120.

The previous prime is 2204471407. The next prime is 2204471419. The reversal of 2204471412 is 2141744022.

2204471412 is a `hidden beast` number, since 2 + 204 + 47 + 1 + 412 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204471419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621139 + ... + 624677.

It is an arithmetic number, because the mean of its divisors is an integer number (45851260).

Almost surely, 22204471412 is an apocalyptic number.

2204471412 is a gapful number since it is divisible by the number (22) 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 2204471412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301290720).

2204471412 is an abundant number, since it is smaller than the sum of its proper divisors (4398110028).

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

2204471412 is a wasteful number, since it uses less digits than its factorization.

2204471412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2204471412 is about 46951.7988153809. The cubic root of 2204471412 is about 1301.4719839324.

The spelling of 2204471412 in words is "two billion, two hundred four million, four hundred seventy-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1331 1452 1573 1716 2178 2574 2662 3146 3539 3993 4356 4719 5148 5324 6292 7078 7986 9438 10617 11979 14156 14157 15972 17303 18876 21234 23958 28314 31851 34606 38929 42468 46007 47916 51909 56628 63702 69212 77858 92014 103818 116787 127404 138021 155716 155727 184028 207636 233574 276042 311454 350361 414063 428219 467148 506077 552084 622908 700722 828126 856438 1012154 1284657 1401444 1518231 1656252 1712876 2024308 2569314 3036462 3853971 4554693 4710409 5138628 5566847 6072924 7707942 9109386 9420818 11133694 14131227 15415884 16700541 18218772 18841636 22267388 28262454 33401082 42393681 50101623 56524908 61235317 66802164 84787362 100203246 122470634 169574724 183705951 200406492 244941268 367411902 551117853 734823804 1102235706 2204471412