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229344768 = 293271701
BaseRepresentation
bin11011010101110…
…00011000000000
3120222112220212200
431222320120000
5432203013033
634431353200
75453253432
oct1552703000
9528486780
10229344768
11108506134
1264982800
133868cc83
1422660652
1515204013
hexdab8600

229344768 has 120 divisors (see below), whose sum is σ = 672184656. Its totient is φ = 75264000.

The previous prime is 229344767. The next prime is 229344779. The reversal of 229344768 is 867443922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229344761) 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 11 ways as a sum of consecutive naturals, for example, 326818 + ... + 327518.

Almost surely, 2229344768 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 229344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336092328).

229344768 is an abundant number, since it is smaller than the sum of its proper divisors (442839888).

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

229344768 is an equidigital number, since it uses as much as digits as its factorization.

229344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 777 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 229344768 is about 15144.1331214434. The cubic root of 229344768 is about 612.1101941780.

The spelling of 229344768 in words is "two hundred twenty-nine million, three hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 701 768 852 1136 1152 1278 1402 1536 1704 2103 2272 2304 2556 2804 3408 4206 4544 4608 5112 5608 6309 6816 8412 9088 10224 11216 12618 13632 16824 18176 20448 22432 25236 27264 33648 36352 40896 44864 49771 50472 54528 67296 81792 89728 99542 100944 109056 134592 149313 163584 179456 199084 201888 269184 298626 327168 358912 398168 403776 447939 538368 597252 796336 807552 895878 1076736 1194504 1592672 1615104 1791756 2389008 3185344 3230208 3583512 4778016 6370688 7167024 9556032 12741376 14334048 19112064 25482752 28668096 38224128 57336192 76448256 114672384 229344768