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21244000 = 255347113
BaseRepresentation
bin101000100001…
…0100001100000
31110222022021211
41101002201200
520414302000
62035155504
7345366601
oct121024140
943868254
1021244000
1110a9aa28
127145b94
13452a71b
142b6dda8
151ce97ba
hex1442860

21244000 has 96 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 8243200.

The previous prime is 21243997. The next prime is 21244001. The reversal of 21244000 is 44212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21244001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187944 + ... + 188056.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 221244000 is an apocalyptic number.

21244000 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 21244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

21244000 is an abundant number, since it is smaller than the sum of its proper divisors (32534816).

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

21244000 is a wasteful number, since it uses less digits than its factorization.

21244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 21244000 is about 4609.1213913283. The cubic root of 21244000 is about 276.9568414038.

Adding to 21244000 its reverse (44212), we get a palindrome (21288212).

The spelling of 21244000 in words is "twenty-one million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 113 125 160 188 200 226 235 250 376 400 452 470 500 565 752 800 904 940 1000 1130 1175 1504 1808 1880 2000 2260 2350 2825 3616 3760 4000 4520 4700 5311 5650 5875 7520 9040 9400 10622 11300 11750 14125 18080 18800 21244 22600 23500 26555 28250 37600 42488 45200 47000 53110 56500 84976 90400 94000 106220 113000 132775 169952 188000 212440 226000 265550 424880 452000 531100 663875 849760 1062200 1327750 2124400 2655500 4248800 5311000 10622000 21244000