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2194949904 = 243727911813
BaseRepresentation
bin1000001011010100…
…0100011100010000
312122222012000012220
42002311010130100
513443401344104
61001445221040
7105251523600
oct20265043420
95588160186
102194949904
11a26aa0394
12513101780
1328c983b34
1416b724c00
15cca707d9
hex82d44710

2194949904 has 120 divisors (see below), whose sum is σ = 6680108160. Its totient is φ = 619137792.

The previous prime is 2194949873. The next prime is 2194949909. The reversal of 2194949904 is 4099494912.

It is not an unprimeable number, because it can be changed into a prime (2194949909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179902 + ... + 191714.

It is an arithmetic number, because the mean of its divisors is an integer number (55667568).

Almost surely, 22194949904 is an apocalyptic number.

2194949904 is a gapful number since it is divisible by the number (24) 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 2194949904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340054080).

2194949904 is an abundant number, since it is smaller than the sum of its proper divisors (4485158256).

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

2194949904 is a wasteful number, since it uses less digits than its factorization.

2194949904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11904 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 2194949904 is about 46850.2924644020. The cubic root of 2194949904 is about 1299.5955159759.

The spelling of 2194949904 in words is "two billion, one hundred ninety-four million, nine hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 553 588 632 784 948 1106 1176 1264 1659 1896 2212 2352 3318 3792 3871 4424 6636 7742 8848 11613 11813 13272 15484 23226 23626 26544 30968 35439 46452 47252 61936 70878 82691 92904 94504 141756 165382 185808 189008 248073 283512 330764 496146 567024 578837 661528 933227 992292 1157674 1323056 1736511 1866454 1984584 2315348 2799681 3473022 3732908 3969168 4630696 5599362 6532589 6946044 7465816 9261392 11198724 13065178 13892088 14931632 19597767 22397448 26130356 27784176 39195534 44794896 45728123 52260712 78391068 91456246 104521424 137184369 156782136 182912492 274368738 313564272 365824984 548737476 731649968 1097474952 2194949904