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22013202002304 = 27371807409111
BaseRepresentation
bin1010000000101010110010…
…00101011111000110000000
32212221102220220012120011010
411000111121011133012000
510341131014203033204
6114452420403520520
74431254444501412
oct500253105370600
985842826176133
1022013202002304
117017823713627
122576380989140
13c38ab3a25596
1456163221a9b2
15282931db7d89
hex14055915f180

22013202002304 has 64 divisors (see below), whose sum is σ = 59296125185280. Its totient is φ = 7234385625600.

The previous prime is 22013202002263. The next prime is 22013202002317. The reversal of 22013202002304 is 40320020231022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 403677292 + ... + 403731819.

It is an arithmetic number, because the mean of its divisors is an integer number (926501956020).

Almost surely, 222013202002304 is an apocalyptic number.

22013202002304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22013202002304 is an abundant number, since it is smaller than the sum of its proper divisors (37282923182976).

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

22013202002304 is an equidigital number, since it uses as much as digits as its factorization.

22013202002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807409199 (or 807409187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22013202002304 its reverse (40320020231022), we get a palindrome (62333222233326).

The spelling of 22013202002304 in words is "twenty-two trillion, thirteen billion, two hundred two million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264 807409111 1614818222 2422227333 3229636444 4844454666 6459272888 9688909332 12918545776 19377818664 25837091552 38755637328 51674183104 57326046881 77511274656 103348366208 114652093762 155022549312 171978140643 229304187524 310045098624 343956281286 458608375048 687912562572 917216750096 1375825125144 1834433500192 2751650250288 3668867000384 5503300500576 7337734000768 11006601001152 22013202002304