Search a number
-
+
229188096 = 293359281
BaseRepresentation
bin11011010100100…
…10001000000000
3120222020221222000
431222102020000
5432133004341
634424144000
75452031604
oct1552221000
9528227860
10229188096
11108409455
1264908000
1338636877
142261d504
15151c28b6
hexda92200

229188096 has 160 divisors (see below), whose sum is σ = 692366400. Its totient is φ = 74833920.

The previous prime is 229188061. The next prime is 229188119. The reversal of 229188096 is 690881922.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815476 + ... + 815756.

It is an arithmetic number, because the mean of its divisors is an integer number (4327290).

Almost surely, 2229188096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346183200).

229188096 is an abundant number, since it is smaller than the sum of its proper divisors (463178304).

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

229188096 is an equidigital number, since it uses as much as digits as its factorization.

229188096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 229188096 is about 15138.9595415273. The cubic root of 229188096 is about 611.9707790739.

The spelling of 229188096 in words is "two hundred twenty-nine million, one hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 256 281 288 354 384 432 472 512 531 562 576 708 768 843 864 944 1062 1124 1152 1416 1536 1593 1686 1728 1888 2124 2248 2304 2529 2832 3186 3372 3456 3776 4248 4496 4608 5058 5664 6372 6744 6912 7552 7587 8496 8992 10116 11328 12744 13488 13824 15104 15174 16579 16992 17984 20232 22656 25488 26976 30208 30348 33158 33984 35968 40464 45312 49737 50976 53952 60696 66316 67968 71936 80928 90624 99474 101952 107904 121392 132632 135936 143872 149211 161856 198948 203904 215808 242784 265264 271872 298422 323712 397896 407808 431616 447633 485568 530528 596844 647424 795792 815616 895266 971136 1061056 1193688 1294848 1591584 1790532 1942272 2122112 2387376 3183168 3581064 3884544 4244224 4774752 6366336 7162128 8488448 9549504 12732672 14324256 19099008 25465344 28648512 38198016 57297024 76396032 114594048 229188096