Search a number
-
+
200046660 = 2235111013001
BaseRepresentation
bin10111110110001…
…11100001000100
3111221102102102120
423323013201010
5402202443120
631503405540
74646240262
oct1373074104
9457372376
10200046660
11a2a15020
1256bb38b0
13325a2608
141c7d5432
1512868140
hexbec7844

200046660 has 96 divisors (see below), whose sum is σ = 617307264. Its totient is φ = 48000000.

The previous prime is 200046631. The next prime is 200046661. The reversal of 200046660 is 66640002.

200046660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200046660.

It is not an unprimeable number, because it can be changed into a prime (200046661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65160 + ... + 68160.

It is an arithmetic number, because the mean of its divisors is an integer number (6430284).

Almost surely, 2200046660 is an apocalyptic number.

200046660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200046660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308653632).

200046660 is an abundant number, since it is smaller than the sum of its proper divisors (417260604).

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

200046660 is a wasteful number, since it uses less digits than its factorization.

200046660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 200046660 is about 14143.7852076451. The cubic root of 200046660 is about 584.8490223289.

Adding to 200046660 its reverse (66640002), we get a palindrome (266686662).

The spelling of 200046660 in words is "two hundred million, forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3001 3030 3333 4444 5555 6002 6060 6666 9003 11110 12004 13332 15005 16665 18006 22220 30010 33011 33330 36012 45015 60020 66022 66660 90030 99033 132044 165055 180060 198066 303101 330110 396132 495165 606202 660220 909303 990330 1212404 1515505 1818606 1980660 3031010 3334111 3637212 4546515 6062020 6668222 9093030 10002333 13336444 16670555 18186060 20004666 33341110 40009332 50011665 66682220 100023330 200046660