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33808147 is a prime number
BaseRepresentation
bin1000000011110…
…1111100010011
32100121122001121
42000331330103
532123330042
63204343111
7560236012
oct200757423
970548047
1033808147
11180a161a
12b3a4a97
137009429
1446c0a79
152e7c367
hex203df13

33808147 has 2 divisors, whose sum is σ = 33808148. Its totient is φ = 33808146.

The previous prime is 33808109. The next prime is 33808153. The reversal of 33808147 is 74180833.

33808147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33808147 is a prime.

It is a super-2 number, since 2×338081472 = 2285981607147218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33806147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16904073 + 16904074.

It is an arithmetic number, because the mean of its divisors is an integer number (16904074).

Almost surely, 233808147 is an apocalyptic number.

33808147 is a deficient number, since it is larger than the sum of its proper divisors (1).

33808147 is an equidigital number, since it uses as much as digits as its factorization.

33808147 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 33808147 is about 5814.4773625838. The cubic root of 33808147 is about 323.3506880070.

The spelling of 33808147 in words is "thirty-three million, eight hundred eight thousand, one hundred forty-seven".