Search a number
-
+
21223231230200 = 2352151922776163
BaseRepresentation
bin1001101001101011010110…
…01010001001000011111000
32210010220212110211101102112
410310311223022021003320
510240210134143331300
6113045452352351452
74320220311643016
oct464655312110370
983126773741375
1021223231230200
1168427a381722a
122469255245588
13bac45a82aaac
145352d1c658b6
1526c0e9308e35
hex134d6b2890f8

21223231230200 has 96 divisors (see below), whose sum is σ = 49676829586560. Its totient is φ = 8432047344000.

The previous prime is 21223231230193. The next prime is 21223231230203. The reversal of 21223231230200 is 203213232212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223231230203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278617319 + ... + 278693481.

It is an arithmetic number, because the mean of its divisors is an integer number (517466974860).

Almost surely, 221223231230200 is an apocalyptic number.

21223231230200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223231230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838414793280).

21223231230200 is an abundant number, since it is smaller than the sum of its proper divisors (28453598356360).

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

21223231230200 is a wasteful number, since it uses less digits than its factorization.

21223231230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85557 (or 85548 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 21223231230200 its reverse (203213232212), we get a palindrome (21426444462412).

The spelling of 21223231230200 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred thirty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 6040 7550 9227 15100 18454 30200 36908 46135 73816 76163 92270 152326 184540 230675 304652 369080 380815 461350 609304 761630 922700 1393277 1523260 1845400 1904075 2786554 3046520 3808150 5573108 6966385 7616300 11146216 11500613 13932770 15232600 23001226 27865540 34831925 46002452 55731080 57503065 69663850 92004904 115006130 139327700 230012260 278655400 287515325 460024520 575030650 702756001 1150061300 1405512002 2300122600 2811024004 3513780005 5622048008 7027560010 14055120020 17568900025 28110240040 35137800050 70275600100 106116156151 140551200200 212232312302 424464624604 530580780755 848929249208 1061161561510 2122323123020 2652903903775 4244646246040 5305807807550 10611615615100 21223231230200