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212071056 = 24317293887
BaseRepresentation
bin11001010001111…
…11001010010000
3112210001022210120
430220333022100
5413242233211
633013230240
75153400651
oct1450771220
9483038716
10212071056
11a978813a
125b032380
1334c22742
1420245528
1513940d06
hexca3f290

212071056 has 80 divisors (see below), whose sum is σ = 582712704. Its totient is φ = 66230272.

The previous prime is 212071051. The next prime is 212071081. The reversal of 212071056 is 650170212.

212071056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212071051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238645 + ... + 239531.

Almost surely, 2212071056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212071056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291356352).

212071056 is an abundant number, since it is smaller than the sum of its proper divisors (370641648).

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

212071056 is a wasteful number, since it uses less digits than its factorization.

212071056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 212071056 is about 14562.6596471936. The cubic root of 212071056 is about 596.3398059245.

The spelling of 212071056 in words is "two hundred twelve million, seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 293 408 586 816 879 887 1172 1758 1774 2344 2661 3516 3548 4688 4981 5322 7032 7096 9962 10644 14064 14192 14943 15079 19924 21288 29886 30158 39848 42576 45237 59772 60316 79696 90474 119544 120632 180948 239088 241264 259891 361896 519782 723792 779673 1039564 1559346 2079128 3118692 4158256 4418147 6237384 8836294 12474768 13254441 17672588 26508882 35345176 53017764 70690352 106035528 212071056