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2243225000 = 2355531693
BaseRepresentation
bin1000010110110100…
…1110010110101000
312210100000122012102
42011231032112220
514043231200000
61010332032532
7106406045402
oct20555162650
95710018172
102243225000
11a51273165
12527302748
13299987093
14173ccdb72
15d1e093d5
hex85b4e5a8

2243225000 has 96 divisors (see below), whose sum is σ = 5359578840. Its totient is φ = 879840000.

The previous prime is 2243224999. The next prime is 2243225051. The reversal of 2243225000 is 5223422.

It can be written as a sum of positive squares in 12 ways, for example, as 915788644 + 1327436356 = 30262^2 + 36434^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324154 + ... + 1325846.

Almost surely, 22243225000 is an apocalyptic number.

2243225000 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 2243225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679789420).

2243225000 is an abundant number, since it is smaller than the sum of its proper divisors (3116353840).

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

2243225000 is an equidigital number, since it uses as much as digits as its factorization.

2243225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2243225000 is about 47362.6962914908. The cubic root of 2243225000 is about 1309.0541508747.

Adding to 2243225000 its reverse (5223422), we get a palindrome (2248448422).

The spelling of 2243225000 in words is "two billion, two hundred forty-three million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 625 1000 1060 1250 1325 1693 2120 2500 2650 3125 3386 5000 5300 6250 6625 6772 8465 10600 12500 13250 13544 16930 25000 26500 33125 33860 42325 53000 66250 67720 84650 89729 132500 165625 169300 179458 211625 265000 331250 338600 358916 423250 448645 662500 717832 846500 897290 1058125 1325000 1693000 1794580 2116250 2243225 3589160 4232500 4486450 5290625 8465000 8972900 10581250 11216125 17945800 21162500 22432250 42325000 44864500 56080625 89729000 112161250 224322500 280403125 448645000 560806250 1121612500 2243225000