Search a number
-
+
229836096 = 2633719001
BaseRepresentation
bin11011011001100…
…00010101000000
3121000110212212000
431230300111000
5432314223341
634450104000
75460401040
oct1554602500
9530425760
10229836096
11108811296
1264b7b000
13388027b9
142274b720
151529e8b6
hexdb30540

229836096 has 112 divisors (see below), whose sum is σ = 772241280. Its totient is φ = 65664000.

The previous prime is 229836067. The next prime is 229836097. The reversal of 229836096 is 690638922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229836097) 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 15 ways as a sum of consecutive naturals, for example, 2596 + ... + 21596.

Almost surely, 2229836096 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 229836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386120640).

229836096 is an abundant number, since it is smaller than the sum of its proper divisors (542405184).

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

229836096 is a wasteful number, since it uses less digits than its factorization.

229836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19029 (or 19013 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 229836096 is about 15160.3461701902. The cubic root of 229836096 is about 612.5469927016.

The spelling of 229836096 in words is "two hundred twenty-nine million, eight hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 19001 38002 57003 76004 114006 133007 152008 171009 228012 266014 304016 342018 399021 456024 513027 532028 608032 684036 798042 912048 1026054 1064056 1197063 1216064 1368072 1596084 1824096 2052108 2128112 2394126 2736144 3192168 3591189 3648192 4104216 4256224 4788252 5472288 6384336 7182378 8208432 8512448 9576504 10944576 12768672 14364756 16416864 19153008 25537344 28729512 32833728 38306016 57459024 76612032 114918048 229836096