Search a number
-
+
228217665 = 35133747673
BaseRepresentation
bin11011001101001…
…01001101000001
3120220102122210010
431212211031001
5431410431130
634351255133
75440550424
oct1546451501
9526378703
10228217665
11107906345
126451a4a9
1338386c50
14224499bb
15150800b0
hexd9a5341

228217665 has 64 divisors (see below), whose sum is σ = 413070336. Its totient is φ = 106831872.

The previous prime is 228217597. The next prime is 228217667. The reversal of 228217665 is 566712822.

It is not a de Polignac number, because 228217665 - 221 = 226120513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (228217667) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 338769 + ... + 339441.

It is an arithmetic number, because the mean of its divisors is an integer number (6454224).

Almost surely, 2228217665 is an apocalyptic number.

It is an amenable number.

228217665 is a deficient number, since it is larger than the sum of its proper divisors (184852671).

228217665 is a wasteful number, since it uses less digits than its factorization.

228217665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its digits is 80640, while the sum is 39.

The square root of 228217665 is about 15106.8747595259. The cubic root of 228217665 is about 611.1058190971.

The spelling of 228217665 in words is "two hundred twenty-eight million, two hundred seventeen thousand, six hundred sixty-five".

Divisors: 1 3 5 13 15 37 39 47 65 111 141 185 195 235 481 555 611 673 705 1443 1739 1833 2019 2405 3055 3365 5217 7215 8695 8749 9165 10095 22607 24901 26085 26247 31631 43745 67821 74703 94893 113035 124505 131235 158155 323713 339105 373515 411203 474465 971139 1170347 1233609 1618565 2056015 3511041 4855695 5851735 6168045 15214511 17555205 45643533 76072555 228217665