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212287880 = 23571515021
BaseRepresentation
bin11001010011101…
…00000110001000
3112210110100020002
430221310012020
5413321203010
633022022132
75155263050
oct1451640610
9483410202
10212287880
11a9916032
125b117948
1334c9a33c
14202a0560
15139851a5
hexca74188

212287880 has 64 divisors (see below), whose sum is σ = 549607680. Its totient is φ = 72288000.

The previous prime is 212287879. The next prime is 212287883. The reversal of 212287880 is 88782212.

It is a super-2 number, since 2×2122878802 = 90132287989788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212287883) 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 15 ways as a sum of consecutive naturals, for example, 39770 + ... + 44790.

It is an arithmetic number, because the mean of its divisors is an integer number (8587620).

Almost surely, 2212287880 is an apocalyptic number.

212287880 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 212287880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

212287880 is an abundant number, since it is smaller than the sum of its proper divisors (337319800).

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

212287880 is a wasteful number, since it uses less digits than its factorization.

212287880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 212287880 is about 14570.1022645690. The cubic root of 212287880 is about 596.5429716988.

The spelling of 212287880 in words is "two hundred twelve million, two hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5021 5285 6040 8456 10042 10570 20084 21140 25105 35147 40168 42280 50210 70294 100420 140588 175735 200840 281176 351470 702940 758171 1405880 1516342 3032684 3790855 5307197 6065368 7581710 10614394 15163420 21228788 26535985 30326840 42457576 53071970 106143940 212287880