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200334200 = 235211412221
BaseRepresentation
bin10111111000011…
…01101101111000
3111221222000212012
423330031231320
5402241143300
631513505052
74651545503
oct1374155570
9457860765
10200334200
11a30a1060
1257112188
1332673461
141c86c13a
15128c3435
hexbf0db78

200334200 has 96 divisors (see below), whose sum is σ = 520747920. Its totient is φ = 71040000.

The previous prime is 200334179. The next prime is 200334203. The reversal of 200334200 is 2433002.

It is a super-3 number, since 3×2003342003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200334203) 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 23 ways as a sum of consecutive naturals, for example, 89090 + ... + 91310.

Almost surely, 2200334200 is an apocalyptic number.

200334200 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 200334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260373960).

200334200 is an abundant number, since it is smaller than the sum of its proper divisors (320413720).

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

200334200 is a wasteful number, since it uses less digits than its factorization.

200334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 200334200 is about 14153.9464461330. The cubic root of 200334200 is about 585.1291019521.

Adding to 200334200 its reverse (2433002), we get a palindrome (202767202).

The spelling of 200334200 in words is "two hundred million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1640 1804 2050 2200 2221 2255 3608 4100 4442 4510 8200 8884 9020 11105 11275 17768 18040 22210 22550 24431 44420 45100 48862 55525 88840 90200 91061 97724 111050 122155 182122 195448 222100 244310 364244 444200 455305 488620 610775 728488 910610 977240 1001671 1221550 1821220 2003342 2276525 2443100 3642440 4006684 4553050 4886200 5008355 8013368 9106100 10016710 18212200 20033420 25041775 40066840 50083550 100167100 200334200