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199515625 = 561132
BaseRepresentation
bin10111110010001…
…01110111101001
3111220102102222121
423321011313221
5402034000000
631444151241
74641566131
oct1371056751
9456372877
10199515625
11a2692051
1256998521
13324479aa
141c6d7ac1
15127b0b1a
hexbe45de9

199515625 has 21 divisors (see below), whose sum is σ = 251617873. Its totient is φ = 158200000.

The previous prime is 199515607. The next prime is 199515629. The reversal of 199515625 is 526515991.

The square root of 199515625 is 14125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 44662489 + 154853136 = 6683^2 + 12444^2 .

It is not a de Polignac number, because 199515625 - 217 = 199384553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199515629) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 1765569 + ... + 1765681.

Almost surely, 2199515625 is an apocalyptic number.

199515625 is the 14125-th square number.

199515625 is the 7063-rd centered octagonal number.

It is an amenable number.

199515625 is a deficient number, since it is larger than the sum of its proper divisors (52102248).

199515625 is an frugal number, since it uses more digits than its factorization.

199515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 118 counting only the distinct ones).

The product of its digits is 121500, while the sum is 43.

The cubic root of 199515625 is about 584.3310589702.

The spelling of 199515625 in words is "one hundred ninety-nine million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 113 125 565 625 2825 3125 12769 14125 15625 63845 70625 319225 353125 1596125 1765625 7980625 39903125 199515625