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12335434225 = 529722292
BaseRepresentation
bin10110111110011111…
…11100100111110001
31011211200021222121021
423133033330213301
5200230332343400
65400011055441
7614453314042
oct133717744761
934750258537
1012335434225
115260038344
122483141581
1312177bac0a
148503b68c9
154c2e2d71a
hex2df3fc9f1

12335434225 has 27 divisors (see below), whose sum is σ = 15523039107. Its totient is φ = 9723962880.

The previous prime is 12335434217. The next prime is 12335434247. The reversal of 12335434225 is 52243453321.

The square root of 12335434225 is 111065.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2412086769 + 9923347456 = 49113^2 + 99616^2 .

It is not a de Polignac number, because 12335434225 - 23 = 12335434217 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 53866411 + ... + 53866639.

Almost surely, 212335434225 is an apocalyptic number.

12335434225 is the 111065-th square number.

12335434225 is the 55533-rd centered octagonal number.

It is an amenable number.

12335434225 is a deficient number, since it is larger than the sum of its proper divisors (3187604882).

12335434225 is an frugal number, since it uses more digits than its factorization.

12335434225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

Adding to 12335434225 its reverse (52243453321), we get a palindrome (64578887546).

The spelling of 12335434225 in words is "twelve billion, three hundred thirty-five million, four hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 97 229 485 1145 2425 5725 9409 22213 47045 52441 111065 235225 262205 555325 1311025 2154661 5086777 10773305 25433885 53866525 127169425 493417369 2467086845 12335434225