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228185888697 = 3613372932221
BaseRepresentation
bin1101010010000011110…
…0000101011110111001
3210210222200000012000000
43110200330011132321
512214311041414242
6252454355303213
722325442023424
oct3244074053671
9723880005000
10228185888697
1188855a92598
1238282baab09
13186968c3220
14b08961c9bb
155e07ba8a4c
hex3520f057b9

228185888697 has 112 divisors (see below), whose sum is σ = 379859663568. Its totient is φ = 136099284480.

The previous prime is 228185888681. The next prime is 228185888743. The reversal of 228185888697 is 796888581822.

228185888697 is a `hidden beast` number, since 2 + 28 + 18 + 588 + 8 + 6 + 9 + 7 = 666.

228185888697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34426575936 + 193759312761 = 185544^2 + 440181^2 .

It is not a de Polignac number, because 228185888697 - 24 = 228185888681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228185888657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 102739047 + ... + 102741267.

It is an arithmetic number, because the mean of its divisors is an integer number (3391604139).

Almost surely, 2228185888697 is an apocalyptic number.

228185888697 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

228185888697 is a deficient number, since it is larger than the sum of its proper divisors (151673774871).

228185888697 is a wasteful number, since it uses less digits than its factorization.

228185888697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2567 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 72.

The spelling of 228185888697 in words is "two hundred twenty-eight billion, one hundred eighty-five million, eight hundred eighty-eight thousand, six hundred ninety-seven".

Divisors: 1 3 9 13 27 37 39 81 111 117 243 293 333 351 481 729 879 999 1053 1443 2221 2637 2997 3159 3809 4329 6663 7911 8991 9477 10841 11427 12987 19989 23733 26973 28873 32523 34281 38961 59967 71199 82177 86619 97569 102843 116883 140933 179901 213597 246531 259857 292707 308529 350649 422799 539703 650753 739593 779571 878121 925587 1068301 1268397 1619109 1952259 2218779 2338713 2634363 2776761 3204903 3805191 5856777 6656337 7016139 7903089 8459789 9614709 11415573 17570331 19969011 21048417 24077861 25379367 28844127 34246719 52710993 59907033 72233583 76138101 86532381 102740157 158132979 216700749 228414303 259597143 313012193 474398937 650102247 685242909 778791429 939036579 1950306741 2055728727 2817109737 5850920223 6167186181 8451329211 17552760669 25353987633 76061962899 228185888697