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212287080 = 23352237933
BaseRepresentation
bin11001010011100…
…11111001101000
3112210110022010110
430221303321220
5413321141310
633022014320
75155260525
oct1451637150
9483408113
10212287080
11a9915475
125b1173a0
1334c99b75
14202a014c
1513984d20
hexca73e68

212287080 has 64 divisors (see below), whose sum is σ = 639797760. Its totient is φ = 56348928.

The previous prime is 212287067. The next prime is 212287081. The reversal of 212287080 is 80782212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (212287081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22794 + ... + 30726.

It is an arithmetic number, because the mean of its divisors is an integer number (9996840).

Almost surely, 2212287080 is an apocalyptic number.

212287080 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 212287080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319898880).

212287080 is an abundant number, since it is smaller than the sum of its proper divisors (427510680).

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

212287080 is a wasteful number, since it uses less digits than its factorization.

212287080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 212287080 is about 14570.0748110639. The cubic root of 212287080 is about 596.5422223469.

The spelling of 212287080 in words is "two hundred twelve million, two hundred eighty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 7933 8920 13380 15866 23799 26760 31732 39665 47598 63464 79330 95196 118995 158660 190392 237990 317320 475980 951960 1769059 3538118 5307177 7076236 8845295 10614354 14152472 17690590 21228708 26535885 35381180 42457416 53071770 70762360 106143540 212287080