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212067216 = 24321472689
BaseRepresentation
bin11001010001111…
…10001110010000
3112210001010112100
430220332032100
5413242122331
633013200400
75153353524
oct1450761620
9483033470
10212067216
11a9785269
125b030100
1334c20a7a
1420243d84
151393eae6
hexca3e390

212067216 has 30 divisors (see below), whose sum is σ = 593494070. Its totient is φ = 70689024.

The previous prime is 212067179. The next prime is 212067217. The reversal of 212067216 is 612760212.

It can be written as a sum of positive squares in only one way, i.e., 176783616 + 35283600 = 13296^2 + 5940^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212067216.

It is not an unprimeable number, because it can be changed into a prime (212067217) 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 5 ways as a sum of consecutive naturals, for example, 736201 + ... + 736488.

Almost surely, 2212067216 is an apocalyptic number.

It is an amenable number.

212067216 is an abundant number, since it is smaller than the sum of its proper divisors (381426854).

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

212067216 is a wasteful number, since it uses less digits than its factorization.

212067216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472703 (or 1472694 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 212067216 is about 14562.5278025486. The cubic root of 212067216 is about 596.3362065670.

The spelling of 212067216 in words is "two hundred twelve million, sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1472689 2945378 4418067 5890756 8836134 11781512 13254201 17672268 23563024 26508402 35344536 53016804 70689072 106033608 212067216