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2225240200 = 235211819421
BaseRepresentation
bin1000010010100010…
…0111100010001000
312202002011220200201
42010220213202020
514024130141300
61004450341544
7106100141521
oct20450474210
95662156621
102225240200
11a420a9997
1252128a8b4
1329602aca1
1417176b848
15d055566a
hex84a27888

2225240200 has 48 divisors (see below), whose sum is σ = 5178613860. Its totient is φ = 889248000.

The previous prime is 2225240099. The next prime is 2225240207. The reversal of 2225240200 is 20425222.

It can be written as a sum of positive squares in 6 ways, for example, as 1146905956 + 1078334244 = 33866^2 + 32838^2 .

It is not an unprimeable number, because it can be changed into a prime (2225240207) 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 11 ways as a sum of consecutive naturals, for example, 231490 + ... + 240910.

Almost surely, 22225240200 is an apocalyptic number.

2225240200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225240200 is an abundant number, since it is smaller than the sum of its proper divisors (2953373660).

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

2225240200 is a wasteful number, since it uses less digits than its factorization.

2225240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2225240200 is about 47172.4517064780. The cubic root of 2225240200 is about 1305.5463623382.

Adding to 2225240200 its reverse (20425222), we get a palindrome (2245665422).

The spelling of 2225240200 in words is "two billion, two hundred twenty-five million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1181 2362 4724 5905 9421 9448 11810 18842 23620 29525 37684 47105 47240 59050 75368 94210 118100 188420 235525 236200 376840 471050 942100 1884200 11126201 22252402 44504804 55631005 89009608 111262010 222524020 278155025 445048040 556310050 1112620100 2225240200