Search a number
-
+
2204404434 = 2321929474729
BaseRepresentation
bin1000001101100100…
…1000101011010010
312200121222100101200
42003121020223102
514003311420214
61002424012030
7105425062041
oct20331105322
95617870350
102204404434
11a31368751
12516301016
1329191432b
1416caa6558
15cd7dbd09
hex83648ad2

2204404434 has 96 divisors (see below), whose sum is σ = 5312736000. Its totient is φ = 657683712.

The previous prime is 2204404429. The next prime is 2204404469. The reversal of 2204404434 is 4344044022.

It is a happy number.

2204404434 is a `hidden beast` number, since 220 + 4 + 4 + 0 + 4 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2204404398 and 2204404407.

It is an unprimeable number.

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, 463782 + ... + 468510.

It is an arithmetic number, because the mean of its divisors is an integer number (55341000).

Almost surely, 22204404434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204404434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656368000).

2204404434 is an abundant number, since it is smaller than the sum of its proper divisors (3108331566).

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

2204404434 is a wasteful number, since it uses less digits than its factorization.

2204404434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2204404434 is about 46951.0855465558. The cubic root of 2204404434 is about 1301.4588030140.

Adding to 2204404434 its reverse (4344044022), we get a palindrome (6548448456).

The spelling of 2204404434 in words is "two billion, two hundred four million, four hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 29 38 47 57 58 87 94 114 141 171 174 261 282 342 423 522 551 846 893 1102 1363 1653 1786 2679 2726 3306 4089 4729 4959 5358 8037 8178 9458 9918 12267 14187 16074 24534 25897 28374 42561 51794 77691 85122 89851 137141 155382 179702 222263 233073 269553 274282 411423 444526 466146 539106 666789 808659 822846 1234269 1333578 1617318 2000367 2468538 2605679 4000734 4222997 5211358 6445627 7817037 8445994 12668991 12891254 15634074 19336881 23451111 25337982 38006973 38673762 46902222 58010643 76013946 116021286 122466913 244933826 367400739 734801478 1102202217 2204404434