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243113200 = 24521125023
BaseRepresentation
bin11100111110110…
…01110011110000
3121221110102121121
432133121303300
5444214110300
640042432024
76011266561
oct1637316360
9557412547
10243113200
1111525a600
1269502614
133b4a0b85
1424406168
151652381a
hexe7d9cf0

243113200 has 90 divisors (see below), whose sum is σ = 642132512. Its totient is φ = 88387200.

The previous prime is 243113153. The next prime is 243113203. The reversal of 243113200 is 2311342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243113203) 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 17 ways as a sum of consecutive naturals, for example, 45889 + ... + 50911.

Almost surely, 2243113200 is an apocalyptic number.

243113200 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 243113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321066256).

243113200 is an abundant number, since it is smaller than the sum of its proper divisors (399019312).

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

243113200 is a wasteful number, since it uses less digits than its factorization.

243113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 243113200 is about 15592.0877370543. The cubic root of 243113200 is about 624.1220312509.

Adding to 243113200 its reverse (2311342), we get a palindrome (245424542).

The spelling of 243113200 in words is "two hundred forty-three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 5023 6050 9680 10046 12100 20092 24200 25115 40184 48400 50230 55253 80368 100460 110506 125575 200920 221012 251150 276265 401840 442024 502300 552530 607783 884048 1004600 1105060 1215566 1381325 2009200 2210120 2431132 2762650 3038915 4420240 4862264 5525300 6077830 9724528 11050600 12155660 15194575 22101200 24311320 30389150 48622640 60778300 121556600 243113200