Search a number
-
+
229788576 = 2535291019
BaseRepresentation
bin11011011001001…
…00101110100000
3121000101110200000
431230210232200
5432311213301
634445100000
75460112353
oct1554445640
9530343600
10229788576
11108789616
1264b57600
13387b6c94
142273829a
1515290786
hexdb24ba0

229788576 has 144 divisors (see below), whose sum is σ = 701719200. Its totient is φ = 73882368.

The previous prime is 229788569. The next prime is 229788577. The reversal of 229788576 is 675887922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (229788577) 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 23 ways as a sum of consecutive naturals, for example, 224995 + ... + 226013.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2229788576 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 229788576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

229788576 is an abundant number, since it is smaller than the sum of its proper divisors (471930624).

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

229788576 is a wasteful number, since it uses less digits than its factorization.

229788576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1053 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 229788576 is about 15158.7788426377. The cubic root of 229788576 is about 612.5047738626.

The spelling of 229788576 in words is "two hundred twenty-nine million, seven hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1019 1044 1296 1392 1566 1944 2038 2088 2349 2592 2784 3057 3132 3888 4076 4176 4698 6114 6264 7047 7776 8152 8352 9171 9396 12228 12528 14094 16304 18342 18792 24456 25056 27513 28188 29551 32608 36684 37584 48912 55026 56376 59102 73368 75168 82539 88653 97824 110052 112752 118204 146736 165078 177306 220104 225504 236408 247617 265959 293472 330156 354612 440208 472816 495234 531918 660312 709224 797877 880416 945632 990468 1063836 1320624 1418448 1595754 1980936 2127672 2393631 2641248 2836896 3191508 3961872 4255344 4787262 6383016 7180893 7923744 8510688 9574524 12766032 14361786 19149048 25532064 28723572 38298096 57447144 76596192 114894288 229788576