Search a number
-
+
243668200 = 23521378893
BaseRepresentation
bin11101000011000…
…01010011101000
3121222111121221011
432201201103220
5444334340300
640102353304
76016100626
oct1641412350
9558447834
10243668200
111155a9586
126972b834
133b636689
142450c516
15165d2eba
hexe8614e8

243668200 has 48 divisors (see below), whose sum is σ = 570727980. Its totient is φ = 96744960.

The previous prime is 243668177. The next prime is 243668203. The reversal of 243668200 is 2866342.

It can be written as a sum of positive squares in 6 ways, for example, as 52620516 + 191047684 = 7254^2 + 13822^2 .

It is not an unprimeable number, because it can be changed into a prime (243668203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22954 + ... + 31846.

Almost surely, 2243668200 is an apocalyptic number.

243668200 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 243668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285363990).

243668200 is an abundant number, since it is smaller than the sum of its proper divisors (327059780).

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

243668200 is a wasteful number, since it uses less digits than its factorization.

243668200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9046 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 243668200 is about 15609.8750795770. The cubic root of 243668200 is about 624.5966036903.

The spelling of 243668200 in words is "two hundred forty-three million, six hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 5480 6850 8893 13700 17786 27400 35572 44465 71144 88930 177860 222325 355720 444650 889300 1218341 1778600 2436682 4873364 6091705 9746728 12183410 24366820 30458525 48733640 60917050 121834100 243668200