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21250000 = 245717
BaseRepresentation
bin101000100001…
…1111111010000
31110222121112001
41101003333100
520420000000
62035243344
7345423232
oct121037720
943877461
1021250000
1110aa4492
127149554
134530385
142b72252
151ceb46a
hex1443fd0

21250000 has 80 divisors (see below), whose sum is σ = 54492048. Its totient is φ = 8000000.

The previous prime is 21249997. The next prime is 21250001. The reversal of 21250000 is 5212.

It can be written as a sum of positive squares in 8 ways, for example, as 18766224 + 2483776 = 4332^2 + 1576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21250001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249992 + ... + 1250008.

Almost surely, 221250000 is an apocalyptic number.

21250000 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 21250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27246024).

21250000 is an abundant number, since it is smaller than the sum of its proper divisors (33242048).

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

21250000 is an frugal number, since it uses more digits than its factorization.

21250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 21250000 is about 4609.7722286464. The cubic root of 21250000 is about 276.9829128377.

Adding to 21250000 its reverse (5212), we get a palindrome (21255212).

The spelling of 21250000 in words is "twenty-one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3125 3400 4250 5000 6250 6800 8500 10000 10625 12500 15625 17000 21250 25000 31250 34000 42500 50000 53125 62500 78125 85000 106250 125000 156250 170000 212500 250000 265625 312500 425000 531250 625000 850000 1062500 1250000 1328125 2125000 2656250 4250000 5312500 10625000 21250000