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234822622225 = 5217257012
BaseRepresentation
bin1101101010110010000…
…1001101110000010001
3211110010012012011212111
43122230201031300101
512321404042402400
6255513115425321
722652060232652
oct3325441156021
9743105164774
10234822622225
1190651280734
1239615755241
13191b3879699
14b518c17529
1561956683ba
hex36ac84dc11

234822622225 has 27 divisors (see below), whose sum is σ = 309370099251. Its totient is φ = 176776608000.

The previous prime is 234822622217. The next prime is 234822622261. The reversal of 234822622225 is 522226228432.

The square root of 234822622225 is 484585.

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

It can be written as a sum of positive squares in 13 ways, for example, as 13975259089 + 220847363136 = 118217^2 + 469944^2 .

It is not a de Polignac number, because 234822622225 - 23 = 234822622217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41186875 + ... + 41192575.

Almost surely, 2234822622225 is an apocalyptic number.

234822622225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

234822622225 is the 484585-th square number.

234822622225 is the 242293-rd centered octagonal number.

It is an amenable number.

234822622225 is a deficient number, since it is larger than the sum of its proper divisors (74547477026).

234822622225 is an frugal number, since it uses more digits than its factorization.

234822622225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446 (or 5723 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The spelling of 234822622225 in words is "two hundred thirty-four billion, eight hundred twenty-two million, six hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 5701 7225 28505 96917 142525 484585 1647589 2422925 8237945 32501401 41189725 162507005 552523817 812535025 2762619085 9392904889 13813095425 46964524445 234822622225