Search a number
-
+
200188960 = 2551319551
BaseRepresentation
bin10111110111010…
…10010000100000
3111221200122121221
423323222100200
5402222021320
631510424424
74650402166
oct1373522040
9457618557
10200188960
11a3001a24
1257062114
133262230a
141c831236
15128953aa
hexbeea420

200188960 has 48 divisors (see below), whose sum is σ = 476606592. Its totient is φ = 79456000.

The previous prime is 200188927. The next prime is 200188999. The reversal of 200188960 is 69881002.

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 7 ways as a sum of consecutive naturals, for example, 16185 + ... + 25735.

It is an arithmetic number, because the mean of its divisors is an integer number (9929304).

Almost surely, 2200188960 is an apocalyptic number.

200188960 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 200188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238303296).

200188960 is an abundant number, since it is smaller than the sum of its proper divisors (276417632).

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

200188960 is a wasteful number, since it uses less digits than its factorization.

200188960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 200188960 is about 14148.8147913527. The cubic root of 200188960 is about 584.9876638010.

The spelling of 200188960 in words is "two hundred million, one hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 5240 9551 10480 19102 20960 38204 47755 76408 95510 152816 191020 305632 382040 764080 1251181 1528160 2502362 5004724 6255905 10009448 12511810 20018896 25023620 40037792 50047240 100094480 200188960