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33166081 = 1324432
BaseRepresentation
bin111111010000…
…1001100000001
32022102000022101
41332201030001
531442303311
63142510401
7551623054
oct176411401
968360271
1033166081
11177a3193
12b135401
136b43100
144594a9b
152da1ec1
hex1fa1301

33166081 has 9 divisors (see below), whose sum is σ = 35994819. Its totient is φ = 30545736.

The previous prime is 33166073. The next prime is 33166109. The reversal of 33166081 is 18066133.

The square root of 33166081 is 5759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4906225 + 28259856 = 2215^2 + 5316^2 .

It is not a de Polignac number, because 33166081 - 23 = 33166073 is a prime.

It is a super-2 number, since 2×331660812 = 2199977857797122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33166681) 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 8 ways as a sum of consecutive naturals, for example, 74646 + ... + 75088.

Almost surely, 233166081 is an apocalyptic number.

33166081 is the 5759-th square number.

33166081 is the 2880-th centered octagonal number.

It is an amenable number.

33166081 is a deficient number, since it is larger than the sum of its proper divisors (2828738).

33166081 is an frugal number, since it uses more digits than its factorization.

33166081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 33166081 is about 321.2906242438.

The spelling of 33166081 in words is "thirty-three million, one hundred sixty-six thousand, eighty-one".

Divisors: 1 13 169 443 5759 74867 196249 2551237 33166081