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33105241 = 132317189
BaseRepresentation
bin111111001001…
…0010101011001
32022021220212001
41332102111121
531433331431
63141321001
7551250511
oct176222531
968256761
1033105241
1117761504
12b106161
136b21500
14457a841
152d8de61
hex1f92559

33105241 has 24 divisors (see below), whose sum is σ = 37946880. Its totient is φ = 28828800.

The previous prime is 33105223. The next prime is 33105253. The reversal of 33105241 is 14250133.

It is not a de Polignac number, because 33105241 - 25 = 33105209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33105221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371925 + ... + 372013.

It is an arithmetic number, because the mean of its divisors is an integer number (1581120).

Almost surely, 233105241 is an apocalyptic number.

33105241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33105241 is a deficient number, since it is larger than the sum of its proper divisors (4841639).

33105241 is a wasteful number, since it uses less digits than its factorization.

33105241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 33105241 is about 5753.7154083253. The cubic root of 33105241 is about 321.0940450304.

Adding to 33105241 its reverse (14250133), we get a palindrome (47355374).

The spelling of 33105241 in words is "thirty-three million, one hundred five thousand, two hundred forty-one".

Divisors: 1 13 31 71 89 169 403 923 1157 2201 2759 5239 6319 11999 15041 28613 35867 82147 195889 371969 466271 1067911 2546557 33105241