Search a number
-
+
2204994096 = 243347131829
BaseRepresentation
bin1000001101101101…
…1000101000110000
312200200002022021000
42003123120220300
514003434302341
61002444402000
7105433066134
oct20333305060
95620068230
102204994096
11a31730778
12516546300
13291a8c846
1416cbbb3c4
15cd8a68b6
hex836d8a30

2204994096 has 160 divisors (see below), whose sum is σ = 6521011200. Its totient is φ = 713007360.

The previous prime is 2204994083. The next prime is 2204994109. The reversal of 2204994096 is 6904994022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2204994083) and next prime (2204994109).

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 31 ways as a sum of consecutive naturals, for example, 2659410 + ... + 2660238.

It is an arithmetic number, because the mean of its divisors is an integer number (40756320).

Almost surely, 22204994096 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 2204994096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260505600).

2204994096 is an abundant number, since it is smaller than the sum of its proper divisors (4316017104).

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

2204994096 is a wasteful number, since it uses less digits than its factorization.

2204994096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2204994096 is about 46957.3646619995. The cubic root of 2204994096 is about 1301.5748362265.

The spelling of 2204994096 in words is "two billion, two hundred four million, nine hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 131 141 144 188 216 262 282 376 393 423 432 524 564 752 786 829 846 1048 1128 1179 1269 1572 1658 1692 2096 2256 2358 2487 2538 3144 3316 3384 3537 4716 4974 5076 6157 6288 6632 6768 7074 7461 9432 9948 10152 12314 13264 14148 14922 18471 18864 19896 20304 22383 24628 28296 29844 36942 38963 39792 44766 49256 55413 56592 59688 73884 77926 89532 98512 108599 110826 116889 119376 147768 155852 166239 179064 217198 221652 233778 295536 311704 325797 332478 350667 358128 434396 443304 467556 623408 651594 664956 701334 868792 886608 935112 977391 1052001 1303188 1329912 1402668 1737584 1870224 1954782 2104002 2606376 2659824 2805336 2932173 3909564 4208004 5104153 5212752 5610672 5864346 7819128 8416008 10208306 11728692 15312459 15638256 16832016 20416612 23457384 30624918 40833224 45937377 46914768 61249836 81666448 91874754 122499672 137812131 183749508 244999344 275624262 367499016 551248524 734998032 1102497048 2204994096