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232043114000 = 2453891303613
BaseRepresentation
bin1101100000011011011…
…0001110111000010000
3211011221111001112101102
43120012312032320100
512300211014122000
6254333225123532
722523146632305
oct3300666167020
9734844045342
10232043114000
118a455319aa5
1238b7a9295a8
1318b5ca75669
14b333a090ac
15608162a3d5
hex3606d8ee10

232043114000 has 80 divisors (see below), whose sum is σ = 567384957360. Its totient is φ = 91774284800.

The previous prime is 232043113937. The next prime is 232043114053. The reversal of 232043114000 is 411340232.

It can be written as a sum of positive squares in 8 ways, for example, as 130662006784 + 101381107216 = 361472^2 + 318404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 473807 + ... + 829806.

It is an arithmetic number, because the mean of its divisors is an integer number (7092311967).

Almost surely, 2232043114000 is an apocalyptic number.

232043114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232043114000 is an abundant number, since it is smaller than the sum of its proper divisors (335341843360).

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

232043114000 is a wasteful number, since it uses less digits than its factorization.

232043114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303725 (or 1303709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232043114000 its reverse (411340232), we get a palindrome (232454454232).

The spelling of 232043114000 in words is "two hundred thirty-two billion, forty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 712 890 1000 1424 1780 2000 2225 3560 4450 7120 8900 11125 17800 22250 35600 44500 89000 178000 1303613 2607226 5214452 6518065 10428904 13036130 20857808 26072260 32590325 52144520 65180650 104289040 116021557 130361300 162951625 232043114 260722600 325903250 464086228 521445200 580107785 651806500 928172456 1160215570 1303613000 1856344912 2320431140 2607226000 2900538925 4640862280 5801077850 9281724560 11602155700 14502694625 23204311400 29005389250 46408622800 58010778500 116021557000 232043114000