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6222843225 = 345217532
BaseRepresentation
bin1011100101110100…
…10000110101011001
3121001200101012010000
411302322100311121
5100221021440400
62505253043213
7310131203034
oct56272206531
917050335100
106222843225
1127036a6245
121258026509
137822c0671
1443065a01b
152664a5600
hex172e90d59

6222843225 has 45 divisors (see below), whose sum is σ = 11533436013. Its totient is φ = 3316956480.

The previous prime is 6222843199. The next prime is 6222843241. The reversal of 6222843225 is 5223482226.

The square root of 6222843225 is 78885.

It is a perfect power (a square), and thus also a powerful number.

6222843225 is a `hidden beast` number, since 622 + 2 + 8 + 4 + 3 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2942303049 + 3280540176 = 54243^2 + 57276^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 6222843225 - 29 = 6222842713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6222843225.

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 44 ways as a sum of consecutive naturals, for example, 3548949 + ... + 3550701.

Almost surely, 26222843225 is an apocalyptic number.

6222843225 is the 78885-th square number.

6222843225 is the 39443-rd centered octagonal number.

It is an amenable number.

6222843225 is a deficient number, since it is larger than the sum of its proper divisors (5310592788).

6222843225 is an frugal number, since it uses more digits than its factorization.

6222843225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 1761 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The cubic root of 6222843225 is about 1839.3439714892.

Multiplying 6222843225 by its sum of digits (36), we get a square (224022356100 = 4733102).

The spelling of 6222843225 in words is "six billion, two hundred twenty-two million, eight hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1753 2025 5259 8765 15777 26295 43825 47331 78885 131475 141993 236655 394425 709965 1183275 3073009 3549825 9219027 15365045 27657081 46095135 76825225 82971243 138285405 230475675 248913729 414856215 691427025 1244568645 2074281075 6222843225