Search a number
-
+
200341200 = 24352732287
BaseRepresentation
bin10111111000011…
…11011011010000
3111221222101110110
423330033123100
5402241404300
631514001320
74651605063
oct1374173320
9457871413
10200341200
11a30a6344
1257116240
13326766b7
141c8708da
15128c5550
hexbf0f6d0

200341200 has 120 divisors (see below), whose sum is σ = 650835328. Its totient is φ = 52669440.

The previous prime is 200341177. The next prime is 200341217. The reversal of 200341200 is 2143002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86457 + ... + 88743.

Almost surely, 2200341200 is an apocalyptic number.

200341200 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 200341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325417664).

200341200 is an abundant number, since it is smaller than the sum of its proper divisors (450494128).

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

200341200 is a wasteful number, since it uses less digits than its factorization.

200341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200341200 is about 14154.1937248294. The cubic root of 200341200 is about 585.1359169909.

Adding to 200341200 its reverse (2143002), we get a palindrome (202484202).

The spelling of 200341200 in words is "two hundred million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 146 150 200 219 240 292 300 365 400 438 584 600 730 876 1095 1168 1200 1460 1752 1825 2190 2287 2920 3504 3650 4380 4574 5475 5840 6861 7300 8760 9148 10950 11435 13722 14600 17520 18296 21900 22870 27444 29200 34305 36592 43800 45740 54888 57175 68610 87600 91480 109776 114350 137220 166951 171525 182960 228700 274440 333902 343050 457400 500853 548880 667804 686100 834755 914800 1001706 1335608 1372200 1669510 2003412 2504265 2671216 2744400 3339020 4006824 4173775 5008530 6678040 8013648 8347550 10017060 12521325 13356080 16695100 20034120 25042650 33390200 40068240 50085300 66780400 100170600 200341200