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3202000230 = 23511133124077
BaseRepresentation
bin1011111011011010…
…1010010101100110
322021011010110120010
42332312222111212
523024203001410
61245421551050
7142230360432
oct27666522546
98234113503
103202000230
1113a349a190
12754415486
133c04bc0c0
142253899c2
1513b195c20
hexbedaa566

3202000230 has 128 divisors (see below), whose sum is σ = 9319919616. Its totient is φ = 693388800.

The previous prime is 3202000211. The next prime is 3202000237. The reversal of 3202000230 is 320002023.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202000237) 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 63 ways as a sum of consecutive naturals, for example, 120952 + ... + 145028.

It is an arithmetic number, because the mean of its divisors is an integer number (72811872).

Almost surely, 23202000230 is an apocalyptic number.

3202000230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3202000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659959808).

3202000230 is an abundant number, since it is smaller than the sum of its proper divisors (6117919386).

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

3202000230 is a wasteful number, since it uses less digits than its factorization.

3202000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24142.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3202000230 is about 56586.2194354774. The cubic root of 3202000230 is about 1473.9195734350.

Adding to 3202000230 its reverse (320002023), we get a palindrome (3522002253).

The spelling of 3202000230 in words is "three billion, two hundred two million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 31 33 39 55 62 65 66 78 93 110 130 143 155 165 186 195 286 310 330 341 390 403 429 465 682 715 806 858 930 1023 1209 1430 1705 2015 2046 2145 2418 3410 4030 4290 4433 5115 6045 8866 10230 12090 13299 22165 24077 26598 44330 48154 66495 72231 120385 132990 144462 240770 264847 313001 361155 529694 626002 722310 746387 794541 939003 1324235 1492774 1565005 1589082 1878006 2239161 2648470 3130010 3443011 3731935 3972705 4478322 4695015 6886022 7463870 7945410 8210257 9390030 9703031 10329033 11195805 16420514 17215055 19406062 20658066 22391610 24630771 29109093 34430110 41051285 48515155 49261542 51645165 58218186 82102570 97030310 103290330 106733341 123153855 145545465 213466682 246307710 291090930 320200023 533666705 640400046 1067333410 1601000115 3202000230