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228096973 = 13172813673
BaseRepresentation
bin11011001100001…
…11101111001101
3120220012112020001
431212013233031
5431343100343
634344524301
75436535516
oct1546075715
9526175201
10228096973
111078336a5
1264480691
1338344030
1422417a0d
151505944d
hexd987bcd

228096973 has 16 divisors (see below), whose sum is σ = 261089136. Its totient is φ = 197406720.

The previous prime is 228096959. The next prime is 228096989. The reversal of 228096973 is 379690822.

It can be written as a sum of positive squares in 8 ways, for example, as 11035684 + 217061289 = 3322^2 + 14733^2 .

It is a de Polignac number, because none of the positive numbers 2k-228096973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228097973) 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, 60265 + ... + 63937.

It is an arithmetic number, because the mean of its divisors is an integer number (16318071).

Almost surely, 2228096973 is an apocalyptic number.

It is an amenable number.

228096973 is a deficient number, since it is larger than the sum of its proper divisors (32992163).

228096973 is a wasteful number, since it uses less digits than its factorization.

228096973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984.

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 228096973 is about 15102.8796260846. The cubic root of 228096973 is about 610.9980731446.

The spelling of 228096973 in words is "two hundred twenty-eight million, ninety-six thousand, nine hundred seventy-three".

Divisors: 1 13 17 221 281 3653 3673 4777 47749 62101 62441 811733 1032113 13417469 17545921 228096973