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231451353 = 3272895897
BaseRepresentation
bin11011100101110…
…10101011011001
3121010111221120100
431302322223121
5433222420403
634544450013
75510206200
oct1562725331
9533457510
10231451353
11109714911
1265619909
1338c49a83
1422a4c237
15154bd2a3
hexdcbaad9

231451353 has 36 divisors (see below), whose sum is σ = 393337620. Its totient is φ = 130749696.

The previous prime is 231451343. The next prime is 231451411. The reversal of 231451353 is 353154132.

It can be written as a sum of positive squares in 2 ways, for example, as 134861769 + 96589584 = 11613^2 + 9828^2 .

It is not a de Polignac number, because 231451353 - 25 = 231451321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231451303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 36301 + ... + 42197.

It is an arithmetic number, because the mean of its divisors is an integer number (10926045).

Almost surely, 2231451353 is an apocalyptic number.

It is an amenable number.

231451353 is a deficient number, since it is larger than the sum of its proper divisors (161886267).

231451353 is a wasteful number, since it uses less digits than its factorization.

231451353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 5996 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 231451353 is about 15213.5253310993. The cubic root of 231451353 is about 613.9786099916.

It can be divided in two parts, 231 and 451353, that added together give a square (451584 = 6722).

The spelling of 231451353 in words is "two hundred thirty-one million, four hundred fifty-one thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 89 147 267 441 623 801 1869 4361 5607 5897 13083 17691 39249 41279 53073 123837 288953 371511 524833 866859 1574499 2600577 3673831 4723497 11021493 25716817 33064479 77150451 231451353