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212060200 = 235211412351
BaseRepresentation
bin11001010001111…
…00100000101000
3112210000202220111
430220330200220
5413241411300
633013104104
75153324212
oct1450744050
9483022814
10212060200
11a977aa70
125b028034
1334c1a811
14202415b2
151393c9ba
hexca3c828

212060200 has 96 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 75200000.

The previous prime is 212060179. The next prime is 212060201. The reversal of 212060200 is 2060212.

It is a happy number.

212060200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212060201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89025 + ... + 91375.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2212060200 is an apocalyptic number.

212060200 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 212060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

212060200 is an abundant number, since it is smaller than the sum of its proper divisors (339154520).

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

212060200 is a wasteful number, since it uses less digits than its factorization.

212060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212060200 is about 14562.2869083122. The cubic root of 212060200 is about 596.3296301285.

The spelling of 212060200 in words is "two hundred twelve million, sixty 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 2255 2351 3608 4100 4510 4702 8200 9020 9404 11275 11755 18040 18808 22550 23510 25861 45100 47020 51722 58775 90200 94040 96391 103444 117550 129305 192782 206888 235100 258610 385564 470200 481955 517220 646525 771128 963910 1034440 1060301 1293050 1927820 2120602 2409775 2586100 3855640 4241204 4819550 5172200 5301505 8482408 9639100 10603010 19278200 21206020 26507525 42412040 53015050 106030100 212060200