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212063082 = 237211232851
BaseRepresentation
bin11001010001111…
…01001101101010
3112210000220212020
430220331031222
5413242004312
633013125310
75153335500
oct1450751552
9483026766
10212063082
11a9782150
125b029836
1334c1bc1a
1420242670
151393d78c
hexca3d36a

212063082 has 96 divisors (see below), whose sum is σ = 561821184. Its totient is φ = 52668000.

The previous prime is 212063077. The next prime is 212063101. The reversal of 212063082 is 280360212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72957 + ... + 75807.

It is an arithmetic number, because the mean of its divisors is an integer number (5852304).

Almost surely, 2212063082 is an apocalyptic number.

212063082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212063082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280910592).

212063082 is an abundant number, since it is smaller than the sum of its proper divisors (349758102).

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

212063082 is a wasteful number, since it uses less digits than its factorization.

212063082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 212063082 is about 14562.3858622137. The cubic root of 212063082 is about 596.3323315850.

The spelling of 212063082 in words is "two hundred twelve million, sixty-three thousand, eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 49 66 69 77 98 138 147 154 161 231 253 294 322 462 483 506 539 759 966 1078 1127 1518 1617 1771 2254 2851 3234 3381 3542 5313 5702 6762 8553 10626 12397 17106 19957 24794 31361 37191 39914 59871 62722 65573 74382 94083 119742 131146 139699 188166 196719 219527 279398 393438 419097 439054 459011 658581 721303 838194 918022 1317162 1377033 1442606 1536689 2163909 2754066 3073378 3213077 4327818 4610067 5049121 6426154 9220134 9639231 10098242 15147363 19278462 30294726 35343847 70687694 106031541 212063082