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229069728 = 2533475641
BaseRepresentation
bin11011010011101…
…01001110100000
3120222000221121000
431221311032200
5432120212403
634421432000
75451026526
oct1551651640
9528027530
10229069728
11108338528
126486b600
13385c4a24
14225cc316
151519c7a3
hexda753a0

229069728 has 96 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 74718720.

The previous prime is 229069699. The next prime is 229069733. The reversal of 229069728 is 827960922.

229069728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 37788 + ... + 43428.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2229069728 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 229069728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

229069728 is an abundant number, since it is smaller than the sum of its proper divisors (453386592).

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

229069728 is a wasteful number, since it uses less digits than its factorization.

229069728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 229069728 is about 15135.0496530405. The cubic root of 229069728 is about 611.8654067726.

The spelling of 229069728 in words is "two hundred twenty-nine million, sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 5641 6768 10152 11282 13536 16923 20304 22564 33846 40608 45128 50769 67692 90256 101538 135384 152307 180512 203076 265127 270768 304614 406152 530254 541536 609228 795381 812304 1060508 1218456 1590762 1624608 2121016 2386143 2436912 3181524 4242032 4772286 4873824 6363048 7158429 8484064 9544572 12726096 14316858 19089144 25452192 28633716 38178288 57267432 76356576 114534864 229069728