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2228081440 = 255131071193
BaseRepresentation
bin1000010011001101…
…1101001100100000
312202021112021010211
42010303131030200
514030342101230
61005031303504
7106133244154
oct20463351440
95667467124
102228081440
11a4376a622
1252221ab94
132967b42b0
14171cab064
15d091742a
hex84cdd320

2228081440 has 48 divisors (see below), whose sum is σ = 5668758648. Its totient is φ = 822675456.

The previous prime is 2228081419. The next prime is 2228081501. The reversal of 2228081440 is 441808222.

It can be written as a sum of positive squares in 4 ways, for example, as 1272776976 + 955304464 = 35676^2 + 30908^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 533517 + ... + 537676.

Almost surely, 22228081440 is an apocalyptic number.

2228081440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2228081440 is an abundant number, since it is smaller than the sum of its proper divisors (3440677208).

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

2228081440 is a wasteful number, since it uses less digits than its factorization.

2228081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071221 (or 1071213 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 2228081440 is about 47202.5575578273. The cubic root of 2228081440 is about 1306.1017769743.

Adding to 2228081440 its reverse (441808222), we get a palindrome (2669889662).

The spelling of 2228081440 in words is "two billion, two hundred twenty-eight million, eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 1071193 2142386 4284772 5355965 8569544 10711930 13925509 17139088 21423860 27851018 34278176 42847720 55702036 69627545 85695440 111404072 139255090 171390880 222808144 278510180 445616288 557020360 1114040720 2228081440