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2201256317 = 131012297321
BaseRepresentation
bin1000001100110100…
…1000000101111101
312200102001101222202
42003031020011331
514002010200232
61002232321245
7105356240621
oct20315100575
95612041882
102201256317
11a2a6084a7
12515243225
13291081440
1416c4c7181
15cd3b9162
hex8334817d

2201256317 has 16 divisors (see below), whose sum is σ = 2404837680. Its totient is φ = 2002752000.

The previous prime is 2201256293. The next prime is 2201256341. The reversal of 2201256317 is 7136521022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2201256293) and next prime (2201256341).

It can be written as a sum of positive squares in 8 ways, for example, as 1552516 + 2199703801 = 1246^2 + 46901^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201256317 - 28 = 2201256061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2201256317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201256347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297017 + ... + 304337.

It is an arithmetic number, because the mean of its divisors is an integer number (150302355).

Almost surely, 22201256317 is an apocalyptic number.

It is an amenable number.

2201256317 is a deficient number, since it is larger than the sum of its proper divisors (203581363).

2201256317 is a wasteful number, since it uses less digits than its factorization.

2201256317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2201256317 is about 46917.5480710576. The cubic root of 2201256317 is about 1300.8389687026.

Adding to 2201256317 its reverse (7136521022), we get a palindrome (9337777339).

The spelling of 2201256317 in words is "two billion, two hundred one million, two hundred fifty-six thousand, three hundred seventeen".

Divisors: 1 13 101 229 1313 2977 7321 23129 95173 300677 739421 1676509 9612473 21794617 169327409 2201256317