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226529993 is a prime number
BaseRepresentation
bin11011000000010…
…01001011001001
3120210020220201202
431200021023021
5430442424433
634251153545
75420321204
oct1540111311
9523226652
10226529993
11106963378
1263a458b5
1337c15a21
142212a93b
1514d49ee8
hexd8092c9

226529993 has 2 divisors, whose sum is σ = 226529994. Its totient is φ = 226529992.

The previous prime is 226529983. The next prime is 226530001. The reversal of 226529993 is 399925622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226291849 + 238144 = 15043^2 + 488^2 .

It is a cyclic number.

It is not a de Polignac number, because 226529993 - 210 = 226528969 is a prime.

It is a super-3 number, since 3×2265299933 (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (226529903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113264996 + 113264997.

It is an arithmetic number, because the mean of its divisors is an integer number (113264997).

Almost surely, 2226529993 is an apocalyptic number.

It is an amenable number.

226529993 is a deficient number, since it is larger than the sum of its proper divisors (1).

226529993 is an equidigital number, since it uses as much as digits as its factorization.

226529993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 524880, while the sum is 47.

The square root of 226529993 is about 15050.9133609891. The cubic root of 226529993 is about 609.5957125823.

The spelling of 226529993 in words is "two hundred twenty-six million, five hundred twenty-nine thousand, nine hundred ninety-three".