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21244300 = 22527113189
BaseRepresentation
bin101000100001…
…0100110001100
31110222022200221
41101002212030
520414304200
62035201124
7345400510
oct121024614
943868627
1021244300
1110aa0180
1271461a4
13452a8bc
142b70140
151ce991a
hex144298c

21244300 has 144 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 6336000.

The previous prime is 21244291. The next prime is 21244303. The reversal of 21244300 is 344212.

21244300 = T704 + T705 + ... + T780.

It is not an unprimeable number, because it can be changed into a prime (21244303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238656 + ... + 238744.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 221244300 is an apocalyptic number.

21244300 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 21244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

21244300 is an abundant number, since it is smaller than the sum of its proper divisors (38751860).

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

21244300 is a wasteful number, since it uses less digits than its factorization.

21244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 21244300 is about 4609.1539353769. The cubic root of 21244300 is about 276.9581450920.

Adding to 21244300 its reverse (344212), we get a palindrome (21588512).

The spelling of 21244300 in words is "twenty-one million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 31 35 44 50 55 62 70 77 89 100 110 124 140 154 155 175 178 217 220 275 308 310 341 350 356 385 434 445 550 620 623 682 700 770 775 868 890 979 1085 1100 1246 1364 1540 1550 1705 1780 1925 1958 2170 2225 2387 2492 2759 3100 3115 3410 3850 3916 4340 4450 4774 4895 5425 5518 6230 6820 6853 7700 8525 8900 9548 9790 10850 11036 11935 12460 13706 13795 15575 17050 19313 19580 21700 23870 24475 27412 27590 30349 31150 34100 34265 38626 47740 48950 55180 59675 60698 62300 68530 68975 77252 96565 97900 119350 121396 137060 137950 151745 171325 193130 212443 238700 275900 303490 342650 386260 424886 482825 606980 685300 758725 849772 965650 1062215 1517450 1931300 2124430 3034900 4248860 5311075 10622150 21244300