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33116226 = 23111322969
BaseRepresentation
bin111111001010…
…1000001000010
32022022110220220
41332111001002
531434204401
63141443510
7551324523
oct176250102
968273826
1033116226
1117769790
12b110596
136b26500
14458084a
152d92336
hex1f95042

33116226 has 48 divisors (see below), whose sum is σ = 78265440. Its totient is φ = 9260160.

The previous prime is 33116203. The next prime is 33116227. The reversal of 33116226 is 62261133.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33116196 and 33116205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33116227) 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 in 23 ways as a sum of consecutive naturals, for example, 9670 + ... + 12638.

It is an arithmetic number, because the mean of its divisors is an integer number (1630530).

Almost surely, 233116226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33116226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39132720).

33116226 is an abundant number, since it is smaller than the sum of its proper divisors (45149214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33116226 is a wasteful number, since it uses less digits than its factorization.

33116226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2998 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 33116226 is about 5754.6699297180. The cubic root of 33116226 is about 321.1295563062.

Adding to 33116226 its reverse (62261133), we get a palindrome (95377359).

The spelling of 33116226 in words is "thirty-three million, one hundred sixteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 2969 3718 5577 5938 8907 11154 17814 32659 38597 65318 77194 97977 115791 195954 231582 424567 501761 849134 1003522 1273701 1505283 2547402 3010566 5519371 11038742 16558113 33116226