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198820417 = 3137972
BaseRepresentation
bin10111101100111…
…00001001000001
3111212010010100011
423312130021001
5401344223132
631421224521
74632642235
oct1366341101
9455103304
10198820417
11a22577a4
1256702141
1332263423
141c5965c5
15126c4b47
hexbd9c241

198820417 has 6 divisors (see below), whose sum is σ = 199706198. Its totient is φ = 197936544.

The previous prime is 198820409. The next prime is 198820451. The reversal of 198820417 is 714028891.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 123201 + 198697216 = 351^2 + 14096^2 .

It is not a de Polignac number, because 198820417 - 23 = 198820409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 198820417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198821417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249063 + ... + 249859.

Almost surely, 2198820417 is an apocalyptic number.

It is an amenable number.

198820417 is a deficient number, since it is larger than the sum of its proper divisors (885781).

198820417 is an frugal number, since it uses more digits than its factorization.

198820417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 198820417 is about 14100.3693923244. The cubic root of 198820417 is about 583.6515727102.

The spelling of 198820417 in words is "one hundred ninety-eight million, eight hundred twenty thousand, four hundred seventeen".

Divisors: 1 313 797 249461 635209 198820417