Search a number
-
+
200531000 = 2353416773
BaseRepresentation
bin10111111001111…
…01110000111000
3111222100000211002
423330331300320
5402313443000
631522024132
74653325325
oct1374756070
9458300732
10200531000
11a32159aa
12571a8048
1332711bc7
141c8bdb4c
15129118d5
hexbf3dc38

200531000 has 128 divisors (see below), whose sum is σ = 494544960. Its totient is φ = 76032000.

The previous prime is 200530943. The next prime is 200531003. The reversal of 200531000 is 135002.

It is a super-2 number, since 2×2005310002 = 80425363922000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200531003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746964 + ... + 2747036.

Almost surely, 2200531000 is an apocalyptic number.

200531000 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 200531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247272480).

200531000 is an abundant number, since it is smaller than the sum of its proper divisors (294013960).

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

200531000 is a wasteful number, since it uses less digits than its factorization.

200531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 200531000 is about 14160.8968642526. The cubic root of 200531000 is about 585.3206414239.

Adding to 200531000 its reverse (135002), we get a palindrome (200666002).

The spelling of 200531000 in words is "two hundred million, five hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 67 73 82 100 125 134 146 164 200 205 250 268 292 328 335 365 410 500 536 584 670 730 820 1000 1025 1340 1460 1640 1675 1825 2050 2680 2747 2920 2993 3350 3650 4100 4891 5125 5494 5986 6700 7300 8200 8375 9125 9782 10250 10988 11972 13400 13735 14600 14965 16750 18250 19564 20500 21976 23944 24455 27470 29930 33500 36500 39128 41000 48910 54940 59860 67000 68675 73000 74825 97820 109880 119720 122275 137350 149650 195640 200531 244550 274700 299300 343375 374125 401062 489100 549400 598600 611375 686750 748250 802124 978200 1002655 1222750 1373500 1496500 1604248 2005310 2445500 2747000 2993000 4010620 4891000 5013275 8021240 10026550 20053100 25066375 40106200 50132750 100265500 200531000