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224806068 = 223215534021
BaseRepresentation
bin11010110011001…
…00010010110100
3120200000022221200
431121210102310
5430022243233
634150212500
75366551164
oct1531442264
9520008850
10224806068
11105996143
1263354130
1337761156
1421bdc5a4
1514b09313
hexd6644b4

224806068 has 36 divisors (see below), whose sum is σ = 568767108. Its totient is φ = 74868480.

The previous prime is 224806067. The next prime is 224806073. The reversal of 224806068 is 860608422.

224806068 is a `hidden beast` number, since 2 + 2 + 48 + 0 + 606 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17791524 + 207014544 = 4218^2 + 14388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224806067) 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 11 ways as a sum of consecutive naturals, for example, 53898 + ... + 57918.

Almost surely, 2224806068 is an apocalyptic number.

It is an amenable number.

224806068 is an abundant number, since it is smaller than the sum of its proper divisors (343961040).

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

224806068 is a wasteful number, since it uses less digits than its factorization.

224806068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 224806068 is about 14993.5342064505. The cubic root of 224806068 is about 608.0454036095.

The spelling of 224806068 in words is "two hundred twenty-four million, eight hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1553 3106 4021 4659 6212 8042 9318 12063 13977 16084 18636 24126 27954 36189 48252 55908 72378 144756 6244613 12489226 18733839 24978452 37467678 56201517 74935356 112403034 224806068