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228065761 = 71121747337
BaseRepresentation
bin11011001100000…
…00000111100001
3120220010221102001
431212000013201
5431341101021
634344124001
75436345520
oct1546000741
9526127361
10228065761
11107812200
1264466601
1338332a71
142240a4b7
1515050091
hexd9801e1

228065761 has 48 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 163215360.

The previous prime is 228065737. The next prime is 228065801. The reversal of 228065761 is 167560822.

It is a happy number.

It is not a de Polignac number, because 228065761 - 227 = 93848033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 228065761.

It is not an unprimeable number, because it can be changed into a prime (228062761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676585 + ... + 676921.

It is an arithmetic number, because the mean of its divisors is an integer number (6473376).

Almost surely, 2228065761 is an apocalyptic number.

It is an amenable number.

228065761 is a deficient number, since it is larger than the sum of its proper divisors (82656287).

228065761 is a wasteful number, since it uses less digits than its factorization.

228065761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 228065761 is about 15101.8462778562. The cubic root of 228065761 is about 610.9702029197.

It can be divided in two parts, 228065 and 761, that added together give a triangular number (228826 = T676).

The spelling of 228065761 in words is "two hundred twenty-eight million, sixty-five thousand, seven hundred sixty-one".

Divisors: 1 7 11 17 47 77 119 121 187 329 337 517 799 847 1309 2057 2359 3619 3707 5593 5687 5729 8789 14399 15839 25949 39809 40103 40777 61523 63019 96679 110873 174229 269263 285439 441133 676753 693209 1219603 1884841 1916519 2961893 4852463 13415633 20733251 32580823 228065761