Search a number
-
+
243480200 = 235231173227
BaseRepresentation
bin11101000001100…
…11011010001000
3121222011002001012
432200303122020
5444312331300
640054343052
76014355545
oct1640633210
9558132035
10243480200
11115490307
126965aa88
133b59bc32
142449dbcc
1516597435
hexe833688

243480200 has 96 divisors (see below), whose sum is σ = 590319360. Its totient is φ = 93292800.

The previous prime is 243480187. The next prime is 243480203. The reversal of 243480200 is 2084342.

243480200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243480203) 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, 1072487 + ... + 1072713.

It is an arithmetic number, because the mean of its divisors is an integer number (6149160).

Almost surely, 2243480200 is an apocalyptic number.

243480200 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 243480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295159680).

243480200 is an abundant number, since it is smaller than the sum of its proper divisors (346839160).

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

243480200 is a wasteful number, since it uses less digits than its factorization.

243480200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 243480200 is about 15603.8520885069. The cubic root of 243480200 is about 624.4359284037.

The spelling of 243480200 in words is "two hundred forty-three million, four hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 173 200 227 248 310 346 454 620 692 775 865 908 1135 1240 1384 1550 1730 1816 2270 3100 3460 4325 4540 5363 5675 6200 6920 7037 8650 9080 10726 11350 14074 17300 21452 22700 26815 28148 34600 35185 39271 42904 45400 53630 56296 70370 78542 107260 134075 140740 157084 175925 196355 214520 268150 281480 314168 351850 392710 536300 703700 785420 981775 1072600 1217401 1407400 1570840 1963550 2434802 3927100 4869604 6087005 7854200 9739208 12174010 24348020 30435025 48696040 60870050 121740100 243480200