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2260643313 = 319307129187
BaseRepresentation
bin1000011010111110…
…1010110111110001
312211112210120122010
42012233222313301
514112211041223
61012153233133
7110010102555
oct20657526761
95745716563
102260643313
11a6008a865
125311027a9
132a0475386
14176345865
15d36ea393
hex86beadf1

2260643313 has 16 divisors (see below), whose sum is σ = 3183192320. Its totient is φ = 1423112976.

The previous prime is 2260643299. The next prime is 2260643321. The reversal of 2260643313 is 3133460622.

It is not a de Polignac number, because 2260643313 - 213 = 2260635121 is a prime.

It is a super-3 number, since 3×22606433133 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2260643393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47095 + ... + 82092.

It is an arithmetic number, because the mean of its divisors is an integer number (198949520).

Almost surely, 22260643313 is an apocalyptic number.

It is an amenable number.

2260643313 is a deficient number, since it is larger than the sum of its proper divisors (922549007).

2260643313 is a wasteful number, since it uses less digits than its factorization.

2260643313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129516.

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 2260643313 is about 47546.2229099221. Note that the first 3 decimals coincide. The cubic root of 2260643313 is about 1312.4336233462.

The spelling of 2260643313 in words is "two billion, two hundred sixty million, six hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 19 57 307 921 5833 17499 129187 387561 2454553 7363659 39660409 118981227 753547771 2260643313