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230763561 = 3737477189
BaseRepresentation
bin11011100000100…
…10110000101001
3121002020000002120
431300102300221
5433033413221
634522021453
75501313030
oct1560226051
9532200076
10230763561
11109295096
1265347889
1338a689b2
142290d717
15153d45c6
hexdc12c29

230763561 has 64 divisors (see below), whose sum is σ = 378224640. Its totient is φ = 122411520.

The previous prime is 230763557. The next prime is 230763563. The reversal of 230763561 is 165367032.

It is not a de Polignac number, because 230763561 - 22 = 230763557 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230763563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2592805 + ... + 2592893.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2230763561 is an apocalyptic number.

230763561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230763561 is a deficient number, since it is larger than the sum of its proper divisors (147461079).

230763561 is a wasteful number, since it uses less digits than its factorization.

230763561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 230763561 is about 15190.9038901574. The cubic root of 230763561 is about 613.3698304198.

The spelling of 230763561 in words is "two hundred thirty million, seven hundred sixty-three thousand, five hundred sixty-one".

Divisors: 1 3 7 21 37 47 71 89 111 141 213 259 267 329 497 623 777 987 1491 1739 1869 2627 3293 3337 4183 5217 6319 7881 9879 10011 12173 12549 18389 18957 23051 23359 29281 36519 44233 55167 69153 70077 87843 123469 132699 154771 233803 296993 370407 464313 701409 864283 890979 1083397 1636621 2078951 2592849 3250191 4909863 6236853 10988741 32966223 76921187 230763561