Search a number
-
+
12213565225 = 52232314
BaseRepresentation
bin10110101111111110…
…00011011100101001
31011112011222101202121
423113333003130221
5200003133041400
65335535031241
7611443406611
oct132777033451
934464871677
1012213565225
1151a826a364
12244a36b521
1311c848b394
1483c131a41
154b73a921a
hex2d7fc3729

12213565225 has 45 divisors (see below), whose sum is σ = 16359650615. Its totient is φ = 9044547600.

The previous prime is 12213565223. The next prime is 12213565229. The reversal of 12213565225 is 52256531221.

The square root of 12213565225 is 110515.

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

It can be written as a sum of positive squares in only one way, i.e., 4396883481 + 7816681744 = 66309^2 + 88412^2 .

It is not a de Polignac number, because 12213565225 - 21 = 12213565223 is a prime.

Its product of digits (36000) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (12213565223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 393985960 + ... + 393985990.

Almost surely, 212213565225 is an apocalyptic number.

12213565225 is the 110515-th square number.

12213565225 is the 55258-th centered octagonal number.

It is an amenable number.

12213565225 is a deficient number, since it is larger than the sum of its proper divisors (4146085390).

12213565225 is an frugal number, since it uses more digits than its factorization.

12213565225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 59 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The spelling of 12213565225 in words is "twelve billion, two hundred thirteen million, five hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 23 25 31 115 155 529 575 713 775 961 2645 3565 4805 13225 16399 17825 22103 24025 29791 81995 110515 148955 409975 508369 552575 685193 744775 923521 2541845 3425965 4617605 12709225 15759439 17129825 21240983 23088025 78797195 106204915 393985975 488542609 531024575 2442713045 12213565225