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30263821225 = 5211231632
BaseRepresentation
bin11100001011110111…
…010100001110101001
32220010010201102001121
4130023313110032221
5443440014234400
621523014415241
72120652143641
oct341367241651
986103642047
1030263821225
1111920157900
125a47361521
132b13c36731
1416714c1521
15bc1d8d21a
hex70bdd43a9

30263821225 has 27 divisors (see below), whose sum is σ = 41261883159. Its totient is φ = 22003093200.

The previous prime is 30263821223. The next prime is 30263821241. The reversal of 30263821225 is 52212836203.

The square root of 30263821225 is 173965.

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., 10894975641 + 19368845584 = 104379^2 + 139172^2 .

It is not a de Polignac number, because 30263821225 - 21 = 30263821223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30263821223) 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, 9566494 + ... + 9569656.

Almost surely, 230263821225 is an apocalyptic number.

30263821225 is the 173965-th square number.

30263821225 is the 86983-rd centered octagonal number.

It is an amenable number.

30263821225 is a deficient number, since it is larger than the sum of its proper divisors (10998061934).

30263821225 is an frugal number, since it uses more digits than its factorization.

30263821225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 30263821225 in words is "thirty billion, two hundred sixty-three million, eight hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 3163 15815 34793 79075 173965 382723 869825 1913615 9568075 10004569 50022845 110050259 250114225 550251295 1210552849 2751256475 6052764245 30263821225