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6225360516 = 22332913115173
BaseRepresentation
bin1011100110000111…
…10111011010000100
3121001212010002012000
411303003313122010
5100222143014031
62505423025300
7310161456054
oct56303673204
917055102160
106225360516
112705065551
121258a3b230
1378299239b
14430b13564
152668013e6
hex1730f7684

6225360516 has 96 divisors (see below), whose sum is σ = 16824931200. Its totient is φ = 1988138880.

The previous prime is 6225360499. The next prime is 6225360529. The reversal of 6225360516 is 6150635226.

It is a happy number.

6225360516 is a `hidden beast` number, since 62 + 25 + 3 + 60 + 516 = 666.

It is a super-2 number, since 2×62253605162 = 77510227108343572512, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 402706 + ... + 417878.

It is an arithmetic number, because the mean of its divisors is an integer number (175259700).

Almost surely, 26225360516 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 6225360516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412465600).

6225360516 is an abundant number, since it is smaller than the sum of its proper divisors (10599570684).

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

6225360516 is a wasteful number, since it uses less digits than its factorization.

6225360516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6225360516 is about 78900.9538345387. The cubic root of 6225360516 is about 1839.5919578013.

The spelling of 6225360516 in words is "six billion, two hundred twenty-five million, three hundred sixty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 131 174 261 262 348 393 522 524 783 786 1044 1179 1566 1572 2358 3132 3537 3799 4716 7074 7598 11397 14148 15173 15196 22794 30346 34191 45519 45588 60692 68382 91038 102573 136557 136764 182076 205146 273114 409671 410292 440017 546228 819342 880034 1320051 1638684 1760068 1987663 2640102 3960153 3975326 5280204 5962989 7920306 7950652 11880459 11925978 15840612 17888967 23760918 23851956 35777934 47521836 53666901 57642227 71555868 107333802 115284454 172926681 214667604 230568908 345853362 518780043 691706724 1037560086 1556340129 2075120172 3112680258 6225360516