Search a number
-
+
23306602225 = 5219216072
BaseRepresentation
bin10101101101001011…
…101000011011110001
32020011021111001202211
4111231023220123301
5340212442232400
614412405212121
71453362564424
oct255513503361
966137431684
1023306602225
11997aa73235
124625401041
13227575c0ba
1411b14dd9bb
159161c4dba
hex56d2e86f1

23306602225 has 27 divisors (see below), whose sum is σ = 30520297227. Its totient is φ = 17652959280.

The previous prime is 23306602223. The next prime is 23306602229. The reversal of 23306602225 is 52220660332.

The square root of 23306602225 is 152665.

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., 8390376801 + 14916225424 = 91599^2 + 122132^2 .

It is not a de Polignac number, because 23306602225 - 21 = 23306602223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23306602223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14502372 + ... + 14503978.

Almost surely, 223306602225 is an apocalyptic number.

23306602225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23306602225 is the 152665-th square number.

23306602225 is the 76333-rd centered octagonal number.

It is an amenable number.

23306602225 is a deficient number, since it is larger than the sum of its proper divisors (7213695002).

23306602225 is an frugal number, since it uses more digits than its factorization.

23306602225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 23306602225 in words is "twenty-three billion, three hundred six million, six hundred two thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1607 1805 8035 9025 30533 40175 152665 580127 763325 2582449 2900635 12912245 14503175 49066531 64561225 245332655 932264089 1226663275 4661320445 23306602225