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229938009981849 = 321323888132
BaseRepresentation
bin110100010010000010011101…
…011001111100001110011001
31010011010212012021011121121100
4310102002131121330032121
5220114301021023404344
62133012021415302013
766301321145400111
oct6422023531741631
91104125167147540
10229938009981849
11672a1187188244
122195763a37a909
139b3c0a48b0100
1440ad0b8100041
151b8b336a75569
hexd1209d67c399

229938009981849 has 27 divisors (see below), whose sum is σ = 359647555985757. Its totient is φ = 141499949906016.

The previous prime is 229938009981847. The next prime is 229938009981851. The reversal of 229938009981849 is 948189900839922.

The square root of 229938009981849 is 15163707.

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

229938009981849 is a `hidden beast` number, since 22 + 99 + 380 + 0 + 9 + 98 + 1 + 8 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (229938009981847) and next prime (229938009981851).

It can be written as a sum of positive squares in 4 ways, for example, as 3734003575449 + 226204006406400 = 1932357^2 + 15040080^2 .

It is not a de Polignac number, because 229938009981849 - 21 = 229938009981847 is a prime.

It is a super-2 number, since 2×2299380099818492 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229938009981847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 591190167 + ... + 591578979.

Almost surely, 2229938009981849 is an apocalyptic number.

229938009981849 is the 15163707-th square number.

229938009981849 is the 7581854-th centered octagonal number.

It is an amenable number.

229938009981849 is a deficient number, since it is larger than the sum of its proper divisors (129709546003908).

229938009981849 is an frugal number, since it uses more digits than its factorization.

229938009981849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777658 (or 388829 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 81.

The spelling of 229938009981849 in words is "two hundred twenty-nine trillion, nine hundred thirty-eight billion, nine million, nine hundred eighty-one thousand, eight hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 388813 1166439 3499317 5054569 15163707 45491121 65709397 197128191 591384573 151175548969 453526646907 1360579940721 1965282136597 5895846409791 17687539229373 25548667775761 76646003327283 229938009981849