Search a number
-
+
200570112 = 2832263331
BaseRepresentation
bin10111111010001…
…11010100000000
3111222102000110200
423331013110000
5402321220422
631522525200
74653550341
oct1375072400
9458360420
10200570112
11a3242326
1257206800
1332726952
141c8d00c8
151291d2ac
hexbf47500

200570112 has 108 divisors (see below), whose sum is σ = 582245664. Its totient is φ = 66401280.

The previous prime is 200570089. The next prime is 200570113. The reversal of 200570112 is 211075002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200570113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 605787 + ... + 606117.

Almost surely, 2200570112 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 200570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291122832).

200570112 is an abundant number, since it is smaller than the sum of its proper divisors (381675552).

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

200570112 is a wasteful number, since it uses less digits than its factorization.

200570112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 200570112 is about 14162.2777828992. The cubic root of 200570112 is about 585.3586930181.

The spelling of 200570112 in words is "two hundred million, five hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 263 288 331 384 526 576 662 768 789 993 1052 1152 1324 1578 1986 2104 2304 2367 2648 2979 3156 3972 4208 4734 5296 5958 6312 7944 8416 9468 10592 11916 12624 15888 16832 18936 21184 23832 25248 31776 33664 37872 42368 47664 50496 63552 67328 75744 84736 87053 95328 100992 127104 151488 174106 190656 201984 254208 261159 302976 348212 381312 522318 605952 696424 762624 783477 1044636 1392848 1566954 2089272 2785696 3133908 4178544 5571392 6267816 8357088 11142784 12535632 16714176 22285568 25071264 33428352 50142528 66856704 100285056 200570112