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229727443968 = 21032112266093
BaseRepresentation
bin1101010111110011010…
…0101001110000000000
3210221222002201022021200
43111330310221300000
512230440211201333
6253311344221200
722411601024601
oct3257464516000
9727862638250
10229727443968
1189477175910
123863330a800
13188810a4bc9
14b19425bda8
155e981b0c13
hex357cd29c00

229727443968 has 132 divisors (see below), whose sum is σ = 723636329208. Its totient is φ = 69614346240.

The previous prime is 229727443921. The next prime is 229727443973. The reversal of 229727443968 is 869344727922.

229727443968 is a `hidden beast` number, since 2 + 2 + 9 + 72 + 74 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1031671 + ... + 1234422.

Almost surely, 2229727443968 is an apocalyptic number.

It is an amenable number.

229727443968 is an abundant number, since it is smaller than the sum of its proper divisors (493908885240).

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

229727443968 is a wasteful number, since it uses less digits than its factorization.

229727443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266130 (or 2266109 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 229727443968 in words is "two hundred twenty-nine billion, seven hundred twenty-seven million, four hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 25344 33792 50688 101376 2266093 4532186 6798279 9064372 13596558 18128744 20394837 24927023 27193116 36257488 40789674 49854046 54386232 72514976 74781069 81579348 99708092 108772464 145029952 149562138 163158696 199416184 217544928 224343207 290059904 299124276 326317392 398832368 435089856 448686414 580119808 598248552 652634784 797664736 870179712 897372828 1160239616 1196497104 1305269568 1595329472 1740359424 1794745656 2320479232 2392994208 2610539136 3190658944 3480718848 3589491312 4785988416 5221078272 6381317888 6961437696 7178982624 9571976832 10442156544 12762635776 14357965248 19143953664 20884313088 25525271552 28715930496 38287907328 57431860992 76575814656 114863721984 229727443968