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229056022944 = 25327421269879
BaseRepresentation
bin1101010101010011001…
…1011000100110100000
3210220020022022120210100
43111110303120212200
512223101320213234
6253121001302400
722356136033110
oct3252463304640
9726208276710
10229056022944
1189162176301
1238486494a00
13187a4c60a68
14b12d003040
155e59286399
hex3554cd89a0

229056022944 has 144 divisors (see below), whose sum is σ = 746203086720. Its totient is φ = 65288885760.

The previous prime is 229056022939. The next prime is 229056022981. The reversal of 229056022944 is 449220650922.

229056022944 is a `hidden beast` number, since 2 + 29 + 0 + 560 + 2 + 29 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 229056022944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713797 + ... + 983675.

It is an arithmetic number, because the mean of its divisors is an integer number (5181965880).

Almost surely, 2229056022944 is an apocalyptic number.

229056022944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229056022944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373101543360).

229056022944 is an abundant number, since it is smaller than the sum of its proper divisors (517147063776).

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

229056022944 is a wasteful number, since it uses less digits than its factorization.

229056022944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270323 (or 270312 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 229056022944 in words is "two hundred twenty-nine billion, fifty-six million, twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 421 504 672 842 1008 1263 1684 2016 2526 2947 3368 3789 5052 5894 6736 7578 8841 10104 11788 13472 15156 17682 20208 23576 26523 30312 35364 40416 47152 53046 60624 70728 94304 106092 121248 141456 212184 269879 282912 424368 539758 809637 848736 1079516 1619274 1889153 2159032 2428911 3238548 3778306 4318064 4857822 5667459 6477096 7556612 8636128 9715644 11334918 12954192 15113224 17002377 19431288 22669836 25908384 30226448 34004754 38862576 45339672 60452896 68009508 77725152 90679344 113619059 136019016 181358688 227238118 272038032 340857177 454476236 544076064 681714354 795333413 908952472 1022571531 1363428708 1590666826 1817904944 2045143062 2386000239 2726857416 3181333652 3635809888 4090286124 4772000478 5453714832 6362667304 7158000717 8180572248 9544000956 10907429664 12725334608 14316001434 16361144496 19088001912 25450669216 28632002868 32722288992 38176003824 57264005736 76352007648 114528011472 229056022944