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200382208 = 2813193169
BaseRepresentation
bin10111111000110…
…01011100000000
3111222001110201021
423330121130000
5402244212313
631514515224
74652135455
oct1374313400
9458043637
10200382208
11a3124134
1257135b14
133268c270
141c88182c
15128d278d
hexbf19700

200382208 has 72 divisors (see below), whose sum is σ = 453563600. Its totient is φ = 87588864.

The previous prime is 200382191. The next prime is 200382223. The reversal of 200382208 is 802283002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61648 + ... + 64816.

Almost surely, 2200382208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226781800).

200382208 is an abundant number, since it is smaller than the sum of its proper divisors (253181392).

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

200382208 is a wasteful number, since it uses less digits than its factorization.

200382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 200382208 is about 14155.6422673081. The cubic root of 200382208 is about 585.1758382463.

The spelling of 200382208 in words is "two hundred million, three hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 608 832 988 1216 1664 1976 2432 3169 3328 3952 4864 6338 7904 12676 15808 25352 31616 41197 50704 60211 63232 82394 101408 120422 164788 202816 240844 329576 405632 481688 659152 782743 811264 963376 1318304 1565486 1926752 2636608 3130972 3853504 5273216 6261944 7707008 10546432 12523888 15414016 25047776 50095552 100191104 200382208