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6225216096 = 2531129203279
BaseRepresentation
bin1011100110000110…
…10100001001100000
3121001211211202002010
411303003110021200
5100222123403341
62505415552520
7310160315031
oct56303241140
917054752063
106225216096
112704a76aa0
12125898b740
13782941728
14430ab6a88
152667c3716
hex1730d4260

6225216096 has 96 divisors (see below), whose sum is σ = 18441561600. Its totient is φ = 1821370880.

The previous prime is 6225216089. The next prime is 6225216119. The reversal of 6225216096 is 6906125226.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 71016 + ... + 132263.

It is an arithmetic number, because the mean of its divisors is an integer number (192099600).

Almost surely, 26225216096 is an apocalyptic number.

6225216096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6225216096 is an abundant number, since it is smaller than the sum of its proper divisors (12216345504).

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

6225216096 is a wasteful number, since it uses less digits than its factorization.

6225216096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203332 (or 203324 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 6225216096 is about 78900.0386311692. The cubic root of 6225216096 is about 1839.5777323374.

The spelling of 6225216096 in words is "six billion, two hundred twenty-five million, two hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 203279 406558 609837 813116 1219674 1626232 2236069 2439348 3252464 4472138 4878696 5895091 6504928 6708207 8944276 9757392 11790182 13416414 17685273 17888552 19514784 23580364 26832828 35370546 35777104 47160728 53665656 64846001 70741092 71554208 94321456 107331312 129692002 141482184 188642912 194538003 214662624 259384004 282964368 389076006 518768008 565928736 778152012 1037536016 1556304024 2075072032 3112608048 6225216096