Search a number
-
+
23338001664 = 283310213307
BaseRepresentation
bin10101101111000011…
…011010010100000000
32020020110120022201000
4111233003122110000
5340244012023124
614415450212000
71454223512115
oct255703322400
966213508630
1023338001664
11999676a08a
124633a24000
13227c104053
1411b575490c
15918d286c9
hex56f0da500

23338001664 has 144 divisors (see below), whose sum is σ = 69103061440. Its totient is φ = 7769364480.

The previous prime is 23338001639. The next prime is 23338001677. The reversal of 23338001664 is 46610083332.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7055499 + ... + 7058805.

Almost surely, 223338001664 is an apocalyptic number.

23338001664 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 23338001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34551530720).

23338001664 is an abundant number, since it is smaller than the sum of its proper divisors (45765059776).

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

23338001664 is a wasteful number, since it uses less digits than its factorization.

23338001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 23338001664 its reverse (46610083332), we get a palindrome (69948084996).

The spelling of 23338001664 in words is "twenty-three billion, three hundred thirty-eight million, one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1021 1152 1728 2042 2304 3063 3307 3456 4084 6126 6614 6912 8168 9189 9921 12252 13228 16336 18378 19842 24504 26456 27567 29763 32672 36756 39684 49008 52912 55134 59526 65344 73512 79368 89289 98016 105824 110268 119052 130688 147024 158736 178578 196032 211648 220536 238104 261376 294048 317472 357156 392064 423296 441072 476208 588096 634944 714312 784128 846592 882144 952416 1176192 1269888 1428624 1764288 1904832 2352384 2539776 2857248 3376447 3528576 3809664 5714496 6752894 7057152 7619328 10129341 11428992 13505788 20258682 22857984 27011576 30388023 40517364 54023152 60776046 81034728 91164069 108046304 121552092 162069456 182328138 216092608 243104184 324138912 364656276 432185216 486208368 648277824 729312552 864370432 972416736 1296555648 1458625104 1944833472 2593111296 2917250208 3889666944 5834500416 7779333888 11669000832 23338001664