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226749341 = 71323131827
BaseRepresentation
bin11011000001111…
…10101110011101
3120210200001121202
431200332232131
5431021434331
634300005245
75422223540
oct1540765635
9523601552
10226749341
11106aa3155
1263b30825
1337c91810
1422186857
1514d8eecb
hexd83eb9d

226749341 has 32 divisors (see below), whose sum is σ = 293787648. Its totient is φ = 170089920.

The previous prime is 226749319. The next prime is 226749359. The reversal of 226749341 is 143947622.

It is not a de Polignac number, because 226749341 - 210 = 226748317 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 226749295 and 226749304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226749361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273770 + ... + 274596.

It is an arithmetic number, because the mean of its divisors is an integer number (9180864).

Almost surely, 2226749341 is an apocalyptic number.

It is an amenable number.

226749341 is a deficient number, since it is larger than the sum of its proper divisors (67038307).

226749341 is a wasteful number, since it uses less digits than its factorization.

226749341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001.

The product of its digits is 72576, while the sum is 38.

The square root of 226749341 is about 15058.1984646238. The cubic root of 226749341 is about 609.7924053965.

The spelling of 226749341 in words is "two hundred twenty-six million, seven hundred forty-nine thousand, three hundred forty-one".

Divisors: 1 7 13 23 91 131 161 299 827 917 1703 2093 3013 5789 10751 11921 19021 21091 39169 75257 108337 133147 247273 274183 758359 1408381 1730911 2491751 9858667 17442257 32392763 226749341