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200203212 = 223112173797
BaseRepresentation
bin10111110111011…
…01101111001100
3111221201101011210
423323231233030
5402223000322
631511014420
74650461556
oct1373555714
9457641153
10200203212
11a3011700
125706a410
1332628951
141c8364d6
151289970c
hexbeedbcc

200203212 has 72 divisors (see below), whose sum is σ = 517084848. Its totient is φ = 60241280.

The previous prime is 200203193. The next prime is 200203217. The reversal of 200203212 is 212302002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200203217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 250798 + ... + 251594.

It is an arithmetic number, because the mean of its divisors is an integer number (7181734).

Almost surely, 2200203212 is an apocalyptic number.

200203212 is a gapful number since it is divisible by the number (22) 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 200203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258542424).

200203212 is an abundant number, since it is smaller than the sum of its proper divisors (316881636).

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

200203212 is a wasteful number, since it uses less digits than its factorization.

200203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200203212 is about 14149.3184288149. The cubic root of 200203212 is about 585.0015457626.

Adding to 200203212 its reverse (212302002), we get a palindrome (412505214).

It can be divided in two parts, 20020 and 3212, that added together give a palindrome (23232).

The spelling of 200203212 in words is "two hundred million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 173 242 346 363 484 519 692 726 797 1038 1452 1594 1903 2076 2391 3188 3806 4782 5709 7612 8767 9564 11418 17534 20933 22836 26301 35068 41866 52602 62799 83732 96437 105204 125598 137881 192874 251196 275762 289311 385748 413643 551524 578622 827286 1157244 1516691 1654572 3033382 4550073 6066764 9100146 16683601 18200292 33367202 50050803 66734404 100101606 200203212