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212287380 = 223519316007
BaseRepresentation
bin11001010011100…
…11111110010100
3112210110022112120
430221303332110
5413321144010
633022015540
75155261434
oct1451637624
9483408476
10212287380
11a9915718
125b1175b0
1334c9a046
14202a02c4
1513984e70
hexca73f94

212287380 has 96 divisors (see below), whose sum is σ = 645980160. Its totient is φ = 51891840.

The previous prime is 212287379. The next prime is 212287403. The reversal of 212287380 is 83782212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32337 + ... + 38343.

It is an arithmetic number, because the mean of its divisors is an integer number (6728960).

Almost surely, 2212287380 is an apocalyptic number.

212287380 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 212287380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322990080).

212287380 is an abundant number, since it is smaller than the sum of its proper divisors (433692780).

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

212287380 is a wasteful number, since it uses less digits than its factorization.

212287380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 212287380 is about 14570.0851061344. The cubic root of 212287380 is about 596.5425033541.

The spelling of 212287380 in words is "two hundred twelve million, two hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 6007 7068 8835 11780 12014 17670 18021 24028 30035 35340 36042 60070 72084 90105 114133 120140 180210 186217 228266 342399 360420 372434 456532 558651 570665 684798 744868 931085 1117302 1141330 1369596 1711995 1862170 2234604 2282660 2793255 3423990 3538123 3724340 5586510 6847980 7076246 10614369 11173020 14152492 17690615 21228738 35381230 42457476 53071845 70762460 106143690 212287380