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228717541 = 13177314177
BaseRepresentation
bin11011010000111…
…11001111100101
3120221101001111001
431220133033211
5432022430131
634410113301
75445031663
oct1550371745
9527331431
10228717541
11108117968
126471b831
1338500630
1422539c33
151512d261
hexda1f3e5

228717541 has 16 divisors (see below), whose sum is σ = 264391344. Its totient is φ = 195969024.

The previous prime is 228717521. The next prime is 228717583. The reversal of 228717541 is 145717822.

It can be written as a sum of positive squares in 8 ways, for example, as 26224641 + 202492900 = 5121^2 + 14230^2 .

It is a cyclic number.

It is not a de Polignac number, because 228717541 - 25 = 228717509 is a prime.

It is a super-2 number, since 2×2287175412 = 104623427122173362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228717541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228717521) 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, 9045 + ... + 23221.

It is an arithmetic number, because the mean of its divisors is an integer number (16524459).

Almost surely, 2228717541 is an apocalyptic number.

It is an amenable number.

228717541 is a deficient number, since it is larger than the sum of its proper divisors (35673803).

228717541 is a wasteful number, since it uses less digits than its factorization.

228717541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280.

The product of its digits is 31360, while the sum is 37.

The square root of 228717541 is about 15123.4103627456. The cubic root of 228717541 is about 611.5516717728.

The spelling of 228717541 in words is "two hundred twenty-eight million, seven hundred seventeen thousand, five hundred forty-one".

Divisors: 1 13 17 73 221 949 1241 14177 16133 184301 241009 1034921 3133117 13453973 17593657 228717541