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198015714 = 232134092069
BaseRepresentation
bin10111100110101…
…11101011100010
3111210121020111100
423303113223202
5401143000324
631352055230
74623051201
oct1363275342
9453536440
10198015714
11a1858156
1256394516
1332041080
141c427238
15125b64c9
hexbcd7ae2

198015714 has 48 divisors (see below), whose sum is σ = 463390200. Its totient is φ = 60749568.

The previous prime is 198015689. The next prime is 198015721. The reversal of 198015714 is 417510891.

198015714 is a `hidden beast` number, since 1 + 9 + 80 + 1 + 571 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146821689 + 51194025 = 12117^2 + 7155^2 .

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 23 ways as a sum of consecutive naturals, for example, 94672 + ... + 96740.

Almost surely, 2198015714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198015714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231695100).

198015714 is an abundant number, since it is smaller than the sum of its proper divisors (265374486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198015714 is a wasteful number, since it uses less digits than its factorization.

198015714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 198015714 is about 14071.8056410682. The cubic root of 198015714 is about 582.8630868874.

The spelling of 198015714 in words is "one hundred ninety-eight million, fifteen thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 409 818 1227 2069 2454 3681 4138 5317 6207 7362 10634 12414 15951 18621 26897 31902 37242 47853 53794 80691 95706 161382 242073 484146 846221 1692442 2538663 5077326 7615989 11000873 15231978 22001746 33002619 66005238 99007857 198015714