Search a number
-
+
201688686 = 232192772129
BaseRepresentation
bin11000000010110…
…00011001101110
3112001111211212100
430001120121232
5403113014221
632002515530
74666216443
oct1401303156
9461454770
10201688686
11a3936771
1257665ba6
1332a28b24
141cb019ca
1512a8e926
hexc05866e

201688686 has 48 divisors (see below), whose sum is σ = 461869200. Its totient is φ = 63431424.

The previous prime is 201688681. The next prime is 201688733. The reversal of 201688686 is 686886102.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201688681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93670 + ... + 95798.

It is an arithmetic number, because the mean of its divisors is an integer number (9622275).

Almost surely, 2201688686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201688686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230934600).

201688686 is an abundant number, since it is smaller than the sum of its proper divisors (260180514).

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

201688686 is a wasteful number, since it uses less digits than its factorization.

201688686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 201688686 is about 14201.7141923079. The cubic root of 201688686 is about 586.4448527980. Note that the first 3 decimals are identical.

The spelling of 201688686 in words is "two hundred one million, six hundred eighty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 277 342 554 831 1662 2129 2493 4258 4986 5263 6387 10526 12774 15789 19161 31578 38322 40451 47367 80902 94734 121353 242706 364059 589733 728118 1179466 1769199 3538398 5307597 10615194 11204927 22409854 33614781 67229562 100844343 201688686