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226253313 = 321113213523
BaseRepresentation
bin11010111110001…
…01101000000001
3120202201212012100
431133011220001
5430410101223
634241221013
75415056436
oct1537055001
9522655170
10226253313
11106794510
1263931769
1337b49b00
1422097b8d
1514ce3043
hexd7c5a01

226253313 has 36 divisors (see below), whose sum is σ = 386083152. Its totient is φ = 126565920.

The previous prime is 226253303. The next prime is 226253317. The reversal of 226253313 is 313352622.

226253313 is a `hidden beast` number, since 2 + 2 + 625 + 3 + 31 + 3 = 666.

It is not a de Polignac number, because 226253313 - 25 = 226253281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226253317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9970 + ... + 23492.

It is an arithmetic number, because the mean of its divisors is an integer number (10724532).

Almost surely, 2226253313 is an apocalyptic number.

It is an amenable number.

226253313 is a deficient number, since it is larger than the sum of its proper divisors (159829839).

226253313 is a wasteful number, since it uses less digits than its factorization.

226253313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566 (or 13550 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 226253313 is about 15041.7190839345. The cubic root of 226253313 is about 609.3474280858.

The spelling of 226253313 in words is "two hundred twenty-six million, two hundred fifty-three thousand, three hundred thirteen".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 429 507 1287 1521 1859 5577 13523 16731 40569 121707 148753 175799 446259 527397 1338777 1582191 1933789 2285387 5801367 6856161 17404101 20568483 25139257 75417771 226253313