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12844822225 = 5219211932
BaseRepresentation
bin10111111011001110…
…00110111011010001
31020011011210120120111
423331213012323101
5202301233302400
65522325041321
7633210121204
oct137547067321
936134716514
1012844822225
1154a1627064
1225a5856241
1312991ac131
1489bcd393b
155029ed3ba
hex2fd9c6ed1

12844822225 has 27 divisors (see below), whose sum is σ = 16824096273. Its totient is φ = 9726863040.

The previous prime is 12844822181. The next prime is 12844822231. The reversal of 12844822225 is 52222844821.

The square root of 12844822225 is 113335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 210163009 + 12634659216 = 14497^2 + 112404^2 .

It is not a de Polignac number, because 12844822225 - 213 = 12844814033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10766229 + ... + 10767421.

Almost surely, 212844822225 is an apocalyptic number.

12844822225 is the 113335-th square number.

12844822225 is the 56668-th centered octagonal number.

It is an amenable number.

12844822225 is a deficient number, since it is larger than the sum of its proper divisors (3979274048).

12844822225 is an frugal number, since it uses more digits than its factorization.

12844822225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 1217 counting only the distinct ones).

The product of its digits is 163840, while the sum is 40.

The spelling of 12844822225 in words is "twelve billion, eight hundred forty-four million, eight hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1193 1805 5965 9025 22667 29825 113335 430673 566675 1423249 2153365 7116245 10766825 27041731 35581225 135208655 513792889 676043275 2568964445 12844822225