Search a number
-
+
209498168 = 231123891163
BaseRepresentation
bin11000111110010…
…11000000111000
3112121012121110102
430133023000320
5412112420133
632442134532
75122463555
oct1437130070
9477177412
10209498168
11a8290090
125a1b1448
1334531619
141db75a2c
15135d37e8
hexc7cb038

209498168 has 64 divisors (see below), whose sum is σ = 452563200. Its totient is φ = 89985280.

The previous prime is 209498143. The next prime is 209498197. The reversal of 209498168 is 861894902.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 179555 + ... + 180717.

It is an arithmetic number, because the mean of its divisors is an integer number (7071300).

Almost surely, 2209498168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209498168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226281600).

209498168 is an abundant number, since it is smaller than the sum of its proper divisors (243065032).

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

209498168 is a wasteful number, since it uses less digits than its factorization.

209498168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 209498168 is about 14474.0515406019. The cubic root of 209498168 is about 593.9183493372.

The spelling of 209498168 in words is "two hundred nine million, four hundred ninety-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 89 92 178 184 253 356 506 712 979 1012 1163 1958 2024 2047 2326 3916 4094 4652 7832 8188 9304 12793 16376 22517 25586 26749 45034 51172 53498 90068 102344 103507 106996 180136 207014 213992 294239 414028 588478 828056 1138577 1176956 2277154 2353912 2380661 4554308 4761322 9108616 9522644 19045288 26187271 52374542 104749084 209498168