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12250000 = 245672
BaseRepresentation
bin101110101110…
…101110010000
3212001100211201
4232232232100
511114000000
61114320544
7206060200
oct56565620
925040751
1012250000
116a07674
124129154
1326cba29
1418ac400
15111e96a
hexbaeb90

12250000 has 105 divisors (see below), whose sum is σ = 34511277. Its totient is φ = 4200000.

The previous prime is 12249989. The next prime is 12250009. The reversal of 12250000 is 5221.

The square root of 12250000 is 3500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 10732176 + 1517824 = 3276^2 + 1232^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12250009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1749997 + ... + 1750003.

Almost surely, 212250000 is an apocalyptic number.

12250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12250000 is the 3500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12250000

12250000 is an abundant number, since it is smaller than the sum of its proper divisors (22261277).

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

12250000 is an frugal number, since it uses more digits than its factorization.

12250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 14 counting only the distinct ones).

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

The cubic root of 12250000 is about 230.5218146029.

Adding to 12250000 its reverse (5221), we get a palindrome (12255221).

The spelling of 12250000 in words is "twelve million, two hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3125 3500 3920 4375 4900 5000 6125 6250 7000 8750 9800 10000 12250 12500 14000 15625 17500 19600 21875 24500 25000 30625 31250 35000 43750 49000 50000 61250 62500 70000 87500 98000 109375 122500 125000 153125 175000 218750 245000 250000 306250 350000 437500 490000 612500 765625 875000 1225000 1531250 1750000 2450000 3062500 6125000 12250000