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226135241 = 17232112741
BaseRepresentation
bin11010111101010…
…00110011001001
3120202111212020022
431132220303021
5430342311431
634234510225
75414055263
oct1536506311
9522455208
10226135241
11106713832
1263895375
1337b08147
1422066b33
1514cbd07b
hexd7a8cc9

226135241 has 16 divisors (see below), whose sum is σ = 251123328. Its totient is φ = 202540800.

The previous prime is 226135229. The next prime is 226135249. The reversal of 226135241 is 142531622.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 226135241 - 218 = 225873097 is a prime.

It is a super-3 number, since 3×2261352413 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 226135241.

It is not an unprimeable number, because it can be changed into a prime (226135249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81131 + ... + 83871.

It is an arithmetic number, because the mean of its divisors is an integer number (15695208).

Almost surely, 2226135241 is an apocalyptic number.

It is an amenable number.

226135241 is a deficient number, since it is larger than the sum of its proper divisors (24988087).

226135241 is a wasteful number, since it uses less digits than its factorization.

226135241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992.

The product of its digits is 2880, while the sum is 26.

The square root of 226135241 is about 15037.7937544043. The cubic root of 226135241 is about 609.2414121229.

Adding to 226135241 its reverse (142531622), we get a palindrome (368666863).

The spelling of 226135241 in words is "two hundred twenty-six million, one hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 17 23 211 391 2741 3587 4853 46597 63043 82501 578351 1071731 9831967 13302073 226135241