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228020013 = 32134361743
BaseRepresentation
bin11011001011101…
…00111100101101
3120220001121122200
431211310330231
5431333120023
634343132113
75436065244
oct1545647455
9526047580
10228020013
111077908a1
1264444039
1338317cb0
14223d795b
1515041743
hexd974f2d

228020013 has 48 divisors (see below), whose sum is σ = 369393024. Its totient is φ = 134628480.

The previous prime is 228020003. The next prime is 228020021. The reversal of 228020013 is 310020822.

It is a happy number.

It is not a de Polignac number, because 228020013 - 29 = 228019501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306520 + ... + 307262.

It is an arithmetic number, because the mean of its divisors is an integer number (7695688).

Almost surely, 2228020013 is an apocalyptic number.

It is an amenable number.

228020013 is a deficient number, since it is larger than the sum of its proper divisors (141373011).

228020013 is a wasteful number, since it uses less digits than its factorization.

228020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228020013 is about 15100.3315526514. The cubic root of 228020013 is about 610.9293484255.

Adding to 228020013 its reverse (310020822), we get a palindrome (538040835).

The spelling of 228020013 in words is "two hundred twenty-eight million, twenty thousand, thirteen".

Divisors: 1 3 9 13 39 43 61 117 129 183 387 549 559 743 793 1677 2229 2379 2623 5031 6687 7137 7869 9659 23607 28977 31949 34099 45323 86931 95847 102297 135969 287541 306891 407907 415337 589199 1246011 1767597 1948889 3738033 5302791 5846667 17540001 25335557 76006671 228020013