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445225000 = 2355111619
BaseRepresentation
bin11010100010011…
…001100000101000
31011000202202212211
4122202121200220
51402434200000
6112102414504
714014231033
oct3242314050
91130682784
10445225000
11209355150
12105131434
137131745c
14431b801a
15291487ba
hex1a899828

445225000 has 96 divisors (see below), whose sum is σ = 1138989600. Its totient is φ = 161800000.

The previous prime is 445224977. The next prime is 445225003. The reversal of 445225000 is 522544.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (445225003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274191 + ... + 275809.

It is an arithmetic number, because the mean of its divisors is an integer number (11864475).

Almost surely, 2445225000 is an apocalyptic number.

445225000 is a gapful number since it is divisible by the number (40) 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 445225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569494800).

445225000 is an abundant number, since it is smaller than the sum of its proper divisors (693764600).

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

445225000 is a wasteful number, since it uses less digits than its factorization.

445225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 445225000 is about 21100.3554472431. The cubic root of 445225000 is about 763.5893236158.

Adding to 445225000 its reverse (522544), we get a palindrome (445747544).

The spelling of 445225000 in words is "four hundred forty-five million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 1619 2200 2500 2750 3125 3238 5000 5500 6250 6476 6875 8095 11000 12500 12952 13750 16190 17809 25000 27500 32380 34375 35618 40475 55000 64760 68750 71236 80950 89045 137500 142472 161900 178090 202375 275000 323800 356180 404750 445225 712360 809500 890450 1011875 1619000 1780900 2023750 2226125 3561800 4047500 4452250 5059375 8095000 8904500 10118750 11130625 17809000 20237500 22261250 40475000 44522500 55653125 89045000 111306250 222612500 445225000