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212568080 = 2452657101
BaseRepresentation
bin11001010101110…
…00100000010000
3112210222120120212
430222320200100
5413404134310
633032023252
75160541004
oct1452704020
9483876525
10212568080
11a9a975aa
125b231b28
1335067a3a
1420334704
15139dd205
hexcab8810

212568080 has 20 divisors (see below), whose sum is σ = 494220972. Its totient is φ = 85027200.

The previous prime is 212568079. The next prime is 212568089. The reversal of 212568080 is 80865212.

It can be written as a sum of positive squares in 2 ways, for example, as 157452304 + 55115776 = 12548^2 + 7424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (212568089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328471 + ... + 1328630.

Almost surely, 2212568080 is an apocalyptic number.

212568080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212568080 is an abundant number, since it is smaller than the sum of its proper divisors (281652892).

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

212568080 is a wasteful number, since it uses less digits than its factorization.

212568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657114 (or 2657108 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 212568080 is about 14579.7146748488. The cubic root of 212568080 is about 596.8053164814.

The spelling of 212568080 in words is "two hundred twelve million, five hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2657101 5314202 10628404 13285505 21256808 26571010 42513616 53142020 106284040 212568080