Search a number
-
+
200828700 = 22335274381
BaseRepresentation
bin10111111100001…
…10011100011100
3111222220011012000
423332012130130
5402403004300
631532242300
74656005262
oct1376063434
9458804160
10200828700
11a33a9636
1257310390
13327b7567
141c95a432
151296ec00
hexbf8671c

200828700 has 72 divisors (see below), whose sum is σ = 645635760. Its totient is φ = 53553600.

The previous prime is 200828699. The next prime is 200828707. The reversal of 200828700 is 7828002.

200828700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200828707) 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, 34491 + ... + 39890.

Almost surely, 2200828700 is an apocalyptic number.

200828700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200828700 is an abundant number, since it is smaller than the sum of its proper divisors (444807060).

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

200828700 is a wasteful number, since it uses less digits than its factorization.

200828700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74404 (or 74391 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 200828700 is about 14171.4043058548. The cubic root of 200828700 is about 585.6101457863.

It can be divided in two parts, 20082 and 8700, that added together give a palindrome (28782).

The spelling of 200828700 in words is "two hundred million, eight hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 74381 148762 223143 297524 371905 446286 669429 743810 892572 1115715 1338858 1487620 1859525 2008287 2231430 2677716 3347145 3719050 4016574 4462860 5578575 6694290 7438100 8033148 10041435 11157150 13388580 16735725 20082870 22314300 33471450 40165740 50207175 66942900 100414350 200828700