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231330144 = 2532409689
BaseRepresentation
bin11011100100111…
…01000101100000
3121010021210022010
431302131011200
5433210031034
634542112520
75506162623
oct1562350540
9533253263
10231330144
11109641841
126557b740
1338c06856
1422a19dba
15154973e9
hexdc9d160

231330144 has 24 divisors (see below), whose sum is σ = 607241880. Its totient is φ = 77110016.

The previous prime is 231330109. The next prime is 231330157. The reversal of 231330144 is 441033132.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231330144.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1204749 + ... + 1204940.

It is an arithmetic number, because the mean of its divisors is an integer number (25301745).

Almost surely, 2231330144 is an apocalyptic number.

231330144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231330144 is an abundant number, since it is smaller than the sum of its proper divisors (375911736).

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

231330144 is a wasteful number, since it uses less digits than its factorization.

231330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409702 (or 2409694 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 231330144 is about 15209.5412159605. The cubic root of 231330144 is about 613.8714129109.

Adding to 231330144 its reverse (441033132), we get a palindrome (672363276).

The spelling of 231330144 in words is "two hundred thirty-one million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2409689 4819378 7229067 9638756 14458134 19277512 28916268 38555024 57832536 77110048 115665072 231330144