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243420202200 = 233527121747623
BaseRepresentation
bin1110001010110011111…
…0011000010011011000
3212021022101001111101110
43202230332120103120
512442011032432300
6303454203420320
723405115402540
oct3425476302330
9767271044343
10243420202200
11942633a382a
123b214b246a0
1319c53b4ba06
14bad29d8320
1564ea354550
hex38acf984d8

243420202200 has 192 divisors, whose sum is σ = 863129756160. Its totient is φ = 55592017920.

The previous prime is 243420202199. The next prime is 243420202213. The reversal of 243420202200 is 2202024342.

243420202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5087589 + ... + 5135211.

It is an arithmetic number, because the mean of its divisors is an integer number (4495467480).

Almost surely, 2243420202200 is an apocalyptic number.

243420202200 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 243420202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431564878080).

243420202200 is an abundant number, since it is smaller than the sum of its proper divisors (619709553960).

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

243420202200 is a wasteful number, since it uses less digits than its factorization.

243420202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48866 (or 48857 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 243420202200 its reverse (2202024342), we get a palindrome (245622226542).

The spelling of 243420202200 in words is "two hundred forty-three billion, four hundred twenty million, two hundred two thousand, two hundred".