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12225282625 = 5341273797
BaseRepresentation
bin10110110001010111…
…10000001001000001
31011120000000201000101
423120223300021001
5200014133021000
65341034122401
7611645121253
oct133053601101
934500021011
1012225282625
115203942866
122452280401
1311caa3185a
1483d901cd3
154b8420e6a
hex2d8af0241

12225282625 has 48 divisors (see below), whose sum is σ = 15872468976. Its totient is φ = 9399168000.

The previous prime is 12225282583. The next prime is 12225282647. The reversal of 12225282625 is 52628252221.

It is a Cunningham number, because it is equal to 1105682+1.

It can be written as a sum of positive squares in 24 ways, for example, as 10725502096 + 1499780529 = 103564^2 + 38727^2 .

It is not a de Polignac number, because 12225282625 - 27 = 12225282497 is a prime.

It is a super-2 number, since 2×122252826252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15338727 + ... + 15339523.

It is an arithmetic number, because the mean of its divisors is an integer number (330676437).

Almost surely, 212225282625 is an apocalyptic number.

It is an amenable number.

12225282625 is a deficient number, since it is larger than the sum of its proper divisors (3647186351).

12225282625 is an frugal number, since it uses more digits than its factorization.

12225282625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 916 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The spelling of 12225282625 in words is "twelve billion, two hundred twenty-five million, two hundred eighty-two thousand, six hundred twenty-five".

Divisors: 1 5 25 41 73 125 205 365 797 1025 1681 1825 2993 3985 5125 8405 9125 14965 19925 32677 42025 58181 74825 99625 122713 163385 210125 290905 374125 613565 816925 1339757 1454525 2385421 3067825 4084625 6698785 7272625 11927105 15339125 33493925 59635525 97802261 167469625 298177625 489011305 2445056525 12225282625