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231643125 = 335473753
BaseRepresentation
bin11011100111010…
…01011111110101
3121010212200122000
431303221133311
5433300040000
634552525513
75511635250
oct1563513765
9533780560
10231643125
111098359aa
12656b0899
1338cb614c
1422a9c097
151550a000
hexdce97f5

231643125 has 160 divisors (see below), whose sum is σ = 512835840. Its totient is φ = 101088000.

The previous prime is 231643121. The next prime is 231643127. The reversal of 231643125 is 521346132.

231643125 is a `hidden beast` number, since 2 + 3 + 1 + 643 + 12 + 5 = 666.

It is not a de Polignac number, because 231643125 - 22 = 231643121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231643121) 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 159 ways as a sum of consecutive naturals, for example, 4370599 + ... + 4370651.

It is an arithmetic number, because the mean of its divisors is an integer number (3205224).

Almost surely, 2231643125 is an apocalyptic number.

231643125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

231643125 is an abundant number, since it is smaller than the sum of its proper divisors (281192715).

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

231643125 is an equidigital number, since it uses as much as digits as its factorization.

231643125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 231643125 is about 15219.8267072920. The cubic root of 231643125 is about 614.1481364746.

Adding to 231643125 its reverse (521346132), we get a palindrome (752989257).

The spelling of 231643125 in words is "two hundred thirty-one million, six hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 37 45 53 63 75 105 111 125 135 159 175 185 189 225 259 265 315 333 371 375 477 525 555 625 675 777 795 875 925 945 999 1113 1125 1295 1325 1431 1575 1665 1855 1875 1961 2331 2385 2625 2775 3339 3375 3885 3975 4375 4625 4725 4995 5565 5625 5883 6475 6625 6993 7155 7875 8325 9275 9805 10017 11655 11925 13125 13727 13875 16695 16875 17649 19425 19875 23125 23625 24975 27825 29415 32375 33125 34965 35775 39375 41181 41625 46375 49025 50085 52947 58275 59625 68635 69375 83475 88245 97125 99375 118125 123543 124875 139125 147075 161875 174825 178875 205905 208125 231875 245125 250425 264735 291375 298125 343175 370629 417375 441225 485625 617715 624375 695625 735375 874125 894375 1029525 1225625 1252125 1323675 1456875 1715875 1853145 2086875 2206125 3088575 3676875 4370625 5147625 6260625 6618375 8579375 9265725 11030625 15442875 25738125 33091875 46328625 77214375 231643125