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199482823225 = 527418232
BaseRepresentation
bin1011100111001000011…
…0100101001000111001
3201001220022010101100001
42321302012211020321
511232020100320400
6231350253113001
720261241010000
oct2716206451071
9631808111301
10199482823225
1177666942684
12327b2488761
1315a71131a0a
149925537c37
1552c7d66a6a
hex2e721a5239

199482823225 has 45 divisors (see below), whose sum is σ = 288726360143. Its totient is φ = 136713186960.

The previous prime is 199482823207. The next prime is 199482823289. The reversal of 199482823225 is 522328284991.

The square root of 199482823225 is 446635.

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., 71813816361 + 127669006864 = 267981^2 + 357308^2 .

It is not a de Polignac number, because 199482823225 - 219 = 199482298937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109424664 + ... + 109426486.

Almost surely, 2199482823225 is an apocalyptic number.

199482823225 is the 446635-th square number.

199482823225 is the 223318-th centered octagonal number.

It is an amenable number.

199482823225 is a deficient number, since it is larger than the sum of its proper divisors (89243536918).

199482823225 is an frugal number, since it uses more digits than its factorization.

199482823225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 1835 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The spelling of 199482823225 in words is "one hundred ninety-nine billion, four hundred eighty-two million, eight hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 1823 2401 8575 9115 12005 12761 45575 60025 63805 89327 319025 446635 625289 2233175 3126445 3323329 4377023 15632225 16616645 21885115 23263303 83083225 109425575 116316515 162843121 581582575 814215605 1139901847 4071078025 5699509235 7979312929 28497546175 39896564645 199482823225