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204111200 = 25522311093
BaseRepresentation
bin11000010101001…
…11110101100000
3112020001220221002
430022213311200
5404223024300
632130451132
75025626246
oct1412476540
9466056832
10204111200
11a5240847
1258433aa8
1333396677
141d172796
1512dbc5d5
hexc2a7d60

204111200 has 72 divisors (see below), whose sum is σ = 519997968. Its totient is φ = 78087680.

The previous prime is 204111191. The next prime is 204111209. The reversal of 204111200 is 2111402.

It is an interprime number because it is at equal distance from previous prime (204111191) and next prime (204111209).

It is a super-2 number, since 2×2041112002 = 83322763930880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204111209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12854 + ... + 23946.

It is an arithmetic number, because the mean of its divisors is an integer number (7222194).

Almost surely, 2204111200 is an apocalyptic number.

204111200 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 204111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259998984).

204111200 is an abundant number, since it is smaller than the sum of its proper divisors (315886768).

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

204111200 is a wasteful number, since it uses less digits than its factorization.

204111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 204111200 is about 14286.7491053773. The cubic root of 204111200 is about 588.7834744003.

Adding to 204111200 its reverse (2111402), we get a palindrome (206222602).

The spelling of 204111200 in words is "two hundred four million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 11093 18400 22186 44372 55465 88744 110930 177488 221860 255139 277325 354976 443720 510278 554650 887440 1020556 1109300 1275695 1774880 2041112 2218600 2551390 4082224 4437200 5102780 6378475 8164448 8874400 10205560 12756950 20411120 25513900 40822240 51027800 102055600 204111200