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228664206 = 232232392311
BaseRepresentation
bin11011010000100…
…10001110001110
3120221021100022200
431220102032032
5432014223311
634405022330
75444420331
oct1550221616
9527240280
10228664206
11108090891
12646b49a6
13384b2284
1422524618
151511c556
hexda1238e

228664206 has 48 divisors (see below), whose sum is σ = 519367680. Its totient is φ = 72570960.

The previous prime is 228664193. The next prime is 228664213. The reversal of 228664206 is 602466822.

228664206 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 642 + 0 + 6 = 666.

It is a super-2 number, since 2×2286642062 = 104574638211220872, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97791 + ... + 100101.

It is an arithmetic number, because the mean of its divisors is an integer number (10820160).

Almost surely, 2228664206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228664206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259683840).

228664206 is an abundant number, since it is smaller than the sum of its proper divisors (290703474).

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

228664206 is a wasteful number, since it uses less digits than its factorization.

228664206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 228664206 is about 15121.6469341140. The cubic root of 228664206 is about 611.5041318480.

It can be divided in two parts, 22866 and 4206, that added together give a palindrome (27072).

The spelling of 228664206 in words is "two hundred twenty-eight million, six hundred sixty-four thousand, two hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 239 414 478 717 1434 2151 2311 4302 4622 5497 6933 10994 13866 16491 20799 32982 41598 49473 53153 98946 106306 159459 318918 478377 552329 956754 1104658 1656987 3313974 4970961 9941922 12703567 25407134 38110701 76221402 114332103 228664206