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2321921568 = 25343619221
BaseRepresentation
bin1000101001100101…
…1011011000100000
312222211002211121010
42022121123120200
514223402442233
61022222500520
7111353002431
oct21231333040
95884084533
102321921568
11a9173404a
12549734740
132b007c0b5
14180537488
15d8ca1b63
hex8a65b620

2321921568 has 96 divisors (see below), whose sum is σ = 6339719232. Its totient is φ = 743500800.

The previous prime is 2321921561. The next prime is 2321921579. The reversal of 2321921568 is 8651291232.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2321921561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 247198 + ... + 256418.

It is an arithmetic number, because the mean of its divisors is an integer number (66038742).

Almost surely, 22321921568 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 2321921568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169859616).

2321921568 is an abundant number, since it is smaller than the sum of its proper divisors (4017797664).

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

2321921568 is a wasteful number, since it uses less digits than its factorization.

2321921568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338 (or 9330 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 2321921568 is about 48186.3213785821. The cubic root of 2321921568 is about 1324.1865790369.

The spelling of 2321921568 in words is "two billion, three hundred twenty-one million, nine hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 61 86 96 122 129 172 183 244 258 344 366 488 516 688 732 976 1032 1376 1464 1952 2064 2623 2928 4128 5246 5856 7869 9221 10492 15738 18442 20984 27663 31476 36884 41968 55326 62952 73768 83936 110652 125904 147536 221304 251808 295072 396503 442608 562481 793006 885216 1124962 1189509 1586012 1687443 2249924 2379018 3172024 3374886 4499848 4758036 6344048 6749772 8999696 9516072 12688096 13499544 17999392 19032144 24186683 26999088 38064288 48373366 53998176 72560049 96746732 145120098 193493464 290240196 386986928 580480392 773973856 1160960784 2321921568