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229728366 = 2337379157
BaseRepresentation
bin11011011000101…
…10000001101110
3121000021102002000
431230112001232
5432302301431
634443513130
75456442000
oct1554260156
9530242060
10229728366
1110874835a
1264b287a6
133879575a
1422720370
151527c9e6
hexdb1606e

229728366 has 128 divisors (see below), whose sum is σ = 606720000. Its totient is φ = 64393056.

The previous prime is 229728353. The next prime is 229728377. The reversal of 229728366 is 663827922.

229728366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463160 + ... + 1463316.

It is an arithmetic number, because the mean of its divisors is an integer number (4740000).

Almost surely, 2229728366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229728366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303360000).

229728366 is an abundant number, since it is smaller than the sum of its proper divisors (376991634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229728366 is a wasteful number, since it uses less digits than its factorization.

229728366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 229728366 is about 15156.7927346124. The cubic root of 229728366 is about 612.4512723140.

The spelling of 229728366 in words is "two hundred twenty-nine million, seven hundred twenty-eight thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 98 126 147 157 158 189 237 294 314 343 378 441 471 474 553 686 711 882 942 1029 1099 1106 1323 1413 1422 1659 2058 2133 2198 2646 2826 3087 3297 3318 3871 4239 4266 4977 6174 6594 7693 7742 8478 9261 9891 9954 11613 12403 14931 15386 18522 19782 23079 23226 24806 27097 29673 29862 34839 37209 46158 53851 54194 59346 69237 69678 74418 81291 86821 104517 107702 111627 138474 161553 162582 173642 207711 209034 223254 243873 260463 323106 334881 415422 484659 487746 520926 607747 669762 731619 781389 969318 1215494 1453977 1463238 1562778 1823241 2344167 2907954 3646482 4254229 4688334 5469723 8508458 10939446 12762687 16409169 25525374 32818338 38288061 76576122 114864183 229728366