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22006313 = 717199733
BaseRepresentation
bin101001111110…
…0101000101001
31112102000222122
41103330220221
521113200223
62103401025
7355023230
oct123745051
945360878
1022006313
111147073a
127453175
1347366b4
142ccbb17
151dea5c8
hex14fca29

22006313 has 16 divisors (see below), whose sum is σ = 28033920. Its totient is φ = 16816896.

The previous prime is 22006301. The next prime is 22006321. The reversal of 22006313 is 31360022.

It is a cyclic number.

It is not a de Polignac number, because 22006313 - 28 = 22006057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22006291 and 22006300.

It is not an unprimeable number, because it can be changed into a prime (22006343) 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, 2606 + ... + 7127.

It is an arithmetic number, because the mean of its divisors is an integer number (1752120).

Almost surely, 222006313 is an apocalyptic number.

It is an amenable number.

22006313 is a deficient number, since it is larger than the sum of its proper divisors (6027607).

22006313 is a wasteful number, since it uses less digits than its factorization.

22006313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 22006313 is about 4691.0886796137. The cubic root of 22006313 is about 280.2307324331.

Adding to 22006313 its reverse (31360022), we get a palindrome (53366335).

The spelling of 22006313 in words is "twenty-two million, six thousand, three hundred thirteen".

Divisors: 1 7 17 19 119 133 323 2261 9733 68131 165461 184927 1158227 1294489 3143759 22006313