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198329085 = 3254407313
BaseRepresentation
bin10111101001001…
…00001011111101
3111211012011100200
423310210023331
5401233012320
631402514113
74625524623
oct1364441375
9454164320
10198329085
11a1a51639
1256505939
13321208b6
141c4a9513
1512629290
hexbd242fd

198329085 has 12 divisors (see below), whose sum is σ = 343770492. Its totient is φ = 105775488.

The previous prime is 198329083. The next prime is 198329107. The reversal of 198329085 is 580923891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55980324 + 142348761 = 7482^2 + 11931^2 .

It is not a de Polignac number, because 198329085 - 21 = 198329083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4407313 = 198329085 / (1 + 9 + 8 + 3 + 2 + 9 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 198329085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198329083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2203612 + ... + 2203701.

It is an arithmetic number, because the mean of its divisors is an integer number (28647541).

Almost surely, 2198329085 is an apocalyptic number.

198329085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198329085 is a deficient number, since it is larger than the sum of its proper divisors (145441407).

198329085 is a wasteful number, since it uses less digits than its factorization.

198329085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407324 (or 4407321 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 198329085 is about 14082.9359510011. The cubic root of 198329085 is about 583.1703960344.

The spelling of 198329085 in words is "one hundred ninety-eight million, three hundred twenty-nine thousand, eighty-five".

Divisors: 1 3 5 9 15 45 4407313 13221939 22036565 39665817 66109695 198329085