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226782316305 = 3255039607029
BaseRepresentation
bin1101001100110101000…
…1111000011100010001
3210200100211221022122100
43103031101320130101
512203422233110210
6252103220031013
722245606611556
oct3231521703421
9720324838570
10226782316305
11881a5783906
1237b50b32469
1318501b9370c
14ad9505aa2d
155d7485a5c0
hex34cd478711

226782316305 has 12 divisors (see below), whose sum is σ = 393089348340. Its totient is φ = 120950568672.

The previous prime is 226782316279. The next prime is 226782316339. The reversal of 226782316305 is 503613287622.

226782316305 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 8 + 2 + 3 + 1 + 630 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158366590209 + 68415726096 = 397953^2 + 261564^2 .

It is not a de Polignac number, because 226782316305 - 211 = 226782314257 is a prime.

It is a super-2 number, since 2×2267823163052 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5039607029 = 226782316305 / (2 + 2 + 6 + 7 + 8 + 2 + 3 + 1 + 6 + 3 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2519803470 + ... + 2519803559.

It is an arithmetic number, because the mean of its divisors is an integer number (32757445695).

Almost surely, 2226782316305 is an apocalyptic number.

It is an amenable number.

226782316305 is a deficient number, since it is larger than the sum of its proper divisors (166307032035).

226782316305 is a wasteful number, since it uses less digits than its factorization.

226782316305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039607040 (or 5039607037 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 226782316305 in words is "two hundred twenty-six billion, seven hundred eighty-two million, three hundred sixteen thousand, three hundred five".

Divisors: 1 3 5 9 15 45 5039607029 15118821087 25198035145 45356463261 75594105435 226782316305