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21244800 = 273522213
BaseRepresentation
bin101000100001…
…0101110000000
31110222100101110
41101002232000
520414313200
62035203320
7345402123
oct121025600
943870343
1021244800
1110aa0595
127146540
13452abb5
142b703ba
151ce9b50
hex1442b80

21244800 has 96 divisors (see below), whose sum is σ = 70006680. Its totient is φ = 5662720.

The previous prime is 21244787. The next prime is 21244807. The reversal of 21244800 is 844212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21244807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8494 + ... + 10706.

Almost surely, 221244800 is an apocalyptic number.

21244800 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 21244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35003340).

21244800 is an abundant number, since it is smaller than the sum of its proper divisors (48761880).

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

21244800 is a wasteful number, since it uses less digits than its factorization.

21244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21244800 is about 4609.2081749472. The cubic root of 21244800 is about 276.9603178786.

The spelling of 21244800 in words is "twenty-one million, two hundred forty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2213 2400 3200 4426 4800 6639 8852 9600 11065 13278 17704 22130 26556 33195 35408 44260 53112 55325 66390 70816 88520 106224 110650 132780 141632 165975 177040 212448 221300 265560 283264 331950 354080 424896 442600 531120 663900 708160 849792 885200 1062240 1327800 1416320 1770400 2124480 2655600 3540800 4248960 5311200 7081600 10622400 21244800