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229845144105 = 33523475213023
BaseRepresentation
bin1101011000001111010…
…1101001001000101001
3210222021022012002112000
43112003311221020221
512231210324102410
6253331151041213
722414530326643
oct3260365511051
9728238162460
10229845144105
1189527656755
1238666810209
131889c5a5065
14b1a5b39893
155ea36aedc0
hex3583d69229

229845144105 has 128 divisors (see below), whose sum is σ = 436431421440. Its totient is φ = 114501404160.

The previous prime is 229845144103. The next prime is 229845144127. The reversal of 229845144105 is 501441548922.

229845144105 is a `hidden beast` number, since 2 + 2 + 98 + 4 + 514 + 41 + 0 + 5 = 666.

It is not a de Polignac number, because 229845144105 - 21 = 229845144103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229845144103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76030624 + ... + 76033646.

It is an arithmetic number, because the mean of its divisors is an integer number (3409620480).

Almost surely, 2229845144105 is an apocalyptic number.

It is an amenable number.

229845144105 is a deficient number, since it is larger than the sum of its proper divisors (206586277335).

229845144105 is a wasteful number, since it uses less digits than its factorization.

229845144105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 229845144105 in words is "two hundred twenty-nine billion, eight hundred forty-five million, one hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 23 27 45 47 69 115 135 141 207 235 345 423 521 621 705 1035 1081 1269 1563 2115 2605 3023 3105 3243 4689 5405 6345 7815 9069 9729 11983 14067 15115 16215 23445 24487 27207 29187 35949 45345 48645 59915 69529 70335 73461 81621 107847 122435 136035 142081 145935 179745 208587 220383 323541 347645 367305 408105 426243 539235 563201 625761 661149 710405 1042935 1101915 1278729 1574983 1617705 1689603 1877283 2131215 2816005 3128805 3267863 3305745 3836187 4724949 5068809 6393645 7874915 8448015 9386415 9803589 14174847 15206427 16339315 19180935 23624745 25344045 29410767 36224609 42524541 49017945 70874235 74024201 76032135 88232301 108673827 147053835 181123045 212622705 222072603 326021481 370121005 441161505 543369135 666217809 978064443 1110363015 1630107405 1702556623 1998653427 3331089045 4890322215 5107669869 8512783115 9993267135 15323009607 25538349345 45969028821 76615048035 229845144105