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2228310405 = 34519215241
BaseRepresentation
bin1000010011010001…
…0101000110000101
312202021221220020000
42010310111012011
514030421413110
61005040231513
7106135216536
oct20464250605
95667856200
102228310405
11a43906652
1252230b599
13296864589
14171d2a68d
15d09601c0
hex84d15185

2228310405 has 60 divisors (see below), whose sum is σ = 4216028652. Its totient is φ = 1125809280.

The previous prime is 2228310397. The next prime is 2228310431. The reversal of 2228310405 is 5040138222.

2228310405 is a `hidden beast` number, since 2 + 228 + 31 + 0 + 405 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1301838561 + 926471844 = 36081^2 + 30438^2 .

It is not a de Polignac number, because 2228310405 - 23 = 2228310397 is a prime.

It is a super-2 number, since 2×22283104052 = 9930734522062528050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138585 + ... + 153825.

Almost surely, 22228310405 is an apocalyptic number.

It is an amenable number.

2228310405 is a deficient number, since it is larger than the sum of its proper divisors (1987718247).

2228310405 is a wasteful number, since it uses less digits than its factorization.

2228310405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15296 (or 15268 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2228310405 is about 47204.9828407976. The cubic root of 2228310405 is about 1306.1465152178.

Adding to 2228310405 its reverse (5040138222), we get a palindrome (7268448627).

The spelling of 2228310405 in words is "two billion, two hundred twenty-eight million, three hundred ten thousand, four hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 361 405 513 855 1083 1539 1805 2565 3249 5415 7695 9747 15241 16245 29241 45723 48735 76205 137169 146205 228615 289579 411507 685845 868737 1234521 1447895 2057535 2606211 4343685 5502001 6172605 7818633 13031055 16506003 23455899 27510005 39093165 49518009 82530015 117279495 148554027 247590045 445662081 742770135 2228310405