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1225000 = 235572
BaseRepresentation
bin100101011000100101000
32022020101101
410223010220
5303200000
642131144
713261300
oct4530450
92266341
101225000
117673a7
124b0ab4
1333b76a
1423c600
15192e6a
hex12b128

1225000 has 72 divisors (see below), whose sum is σ = 3339630. Its totient is φ = 420000.

The previous prime is 1224991. The next prime is 1225009. The reversal of 1225000 is 5221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1224991) and next prime (1225009).

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 1223236 = 42^2 + 1106^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1225009) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 174997 + ... + 175003.

21225000 is an apocalyptic number.

1225000 is a gapful number since it is divisible by the number (10) 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 1225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669815).

1225000 is an abundant number, since it is smaller than the sum of its proper divisors (2114630).

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

1225000 is an frugal number, since it uses more digits than its factorization.

1225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 14 counting only the distinct ones).

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

The square root of 1225000 is about 1106.7971810589. The cubic root of 1225000 is about 106.9987480565.

Multiplying 1225000 by its sum of digits (10), we get a square (12250000 = 35002).

1225000 divided by its sum of digits (10) gives a square (122500 = 3502).

The spelling of 1225000 in words is "one million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 625 700 875 980 1000 1225 1250 1400 1750 1960 2450 2500 3125 3500 4375 4900 5000 6125 6250 7000 8750 9800 12250 12500 17500 21875 24500 25000 30625 35000 43750 49000 61250 87500 122500 153125 175000 245000 306250 612500 1225000