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212095080 = 233251274639
BaseRepresentation
bin11001010010001…
…01000001101000
3112210002112202100
430221011001220
5413244020310
633013533400
75153531001
oct1451050150
9483075670
10212095080
11a97a419a
125b044260
1334c30662
14202501a8
1513947ec0
hexca45068

212095080 has 96 divisors (see below), whose sum is σ = 694886400. Its totient is φ = 56101248.

The previous prime is 212095073. The next prime is 212095097. The reversal of 212095080 is 80590212.

212095080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43401 + ... + 48039.

It is an arithmetic number, because the mean of its divisors is an integer number (7238400).

Almost surely, 2212095080 is an apocalyptic number.

212095080 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 212095080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347443200).

212095080 is an abundant number, since it is smaller than the sum of its proper divisors (482791320).

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

212095080 is a wasteful number, since it uses less digits than its factorization.

212095080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 212095080 is about 14563.4844731609. The cubic root of 212095080 is about 596.3623234191.

The spelling of 212095080 in words is "two hundred twelve million, ninety-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 4639 5080 5715 7620 9144 9278 11430 13917 15240 18556 22860 23195 27834 37112 41751 45720 46390 55668 69585 83502 92780 111336 139170 167004 185560 208755 278340 334008 417510 556680 589153 835020 1178306 1670040 1767459 2356612 2945765 3534918 4713224 5302377 5891530 7069836 8837295 10604754 11783060 14139672 17674590 21209508 23566120 26511885 35349180 42419016 53023770 70698360 106047540 212095080