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228083688001 = 1323857890107
BaseRepresentation
bin1101010001101011011…
…0001110001001000001
3210210201112200212000001
43110122312032021001
512214103411004001
6252440305000001
722323061234261
oct3243266161101
9723645625001
10228083688001
1188803328704
1238254923001
131867b68bb40
14b079c177a1
155dedc1c001
hex351ad8e241

228083688001 has 16 divisors (see below), whose sum is σ = 256607455104. Its totient is φ = 201149714304.

The previous prime is 228083687987. The next prime is 228083688017. The reversal of 228083688001 is 100886380822.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 228083688001 - 217 = 228083556929 is a prime.

It is a super-2 number, since 2×2280836880012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228083688101) 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 15 ways as a sum of consecutive naturals, for example, 188811 + ... + 701296.

It is an arithmetic number, because the mean of its divisors is an integer number (16037965944).

Almost surely, 2228083688001 is an apocalyptic number.

It is an amenable number.

228083688001 is a deficient number, since it is larger than the sum of its proper divisors (28523767103).

228083688001 is a wasteful number, since it uses less digits than its factorization.

228083688001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891000.

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 228083688001 in words is "two hundred twenty-eight billion, eighty-three million, six hundred eighty-eight thousand, one".

Divisors: 1 13 23 299 857 11141 19711 256243 890107 11571391 20472461 266141993 762821699 9916682087 17544899077 228083688001