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231241000 = 2353231241
BaseRepresentation
bin11011100100001…
…11010100101000
3121010010021000111
431302013110220
5433144203000
634540144104
75505342004
oct1562072450
9533107014
10231241000
11109590871
1265538034
1338ba50c3
14229d5704
151547acba
hexdc87528

231241000 has 32 divisors (see below), whose sum is σ = 541106280. Its totient is φ = 92496000.

The previous prime is 231240967. The next prime is 231241007. The reversal of 231241000 is 142132.

It can be written as a sum of positive squares in 4 ways, for example, as 142993764 + 88247236 = 11958^2 + 9394^2 .

It is not an unprimeable number, because it can be changed into a prime (231241007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114621 + ... + 116620.

Almost surely, 2231241000 is an apocalyptic number.

231241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231241000 is an abundant number, since it is smaller than the sum of its proper divisors (309865280).

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

231241000 is a wasteful number, since it uses less digits than its factorization.

231241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231262 (or 231248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 231241000 is about 15206.6104046891. The cubic root of 231241000 is about 613.7925501753.

Adding to 231241000 its reverse (142132), we get a palindrome (231383132).

The spelling of 231241000 in words is "two hundred thirty-one million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 231241 462482 924964 1156205 1849928 2312410 4624820 5781025 9249640 11562050 23124100 28905125 46248200 57810250 115620500 231241000