Base | Representation |
---|---|

bin | 111101000010010100001 |

3 | 10202121112022 |

4 | 13220102201 |

5 | 1003000113 |

6 | 110511225 |

7 | 23000000 |

oct | 7502241 |

9 | 3677468 |

10 | 2000033 |

11 | 1146722 |

12 | 805515 |

13 | 550469 |

14 | 3a0c37 |

15 | 297908 |

hex | 1e84a1 |

2000033 has 14 divisors (see below), whose sum is σ = 2470626. Its totient is φ = 1613472.

The previous prime is 2000029. The next prime is 2000039. The reversal of 2000033 is 3300002.

Adding to 2000033 its reverse (3300002), we get a palindrome (5300035).

It can be written as a sum of positive squares in only one way, i.e., 1882384 + 117649 = 1372^2 + 343^2 .

It is not a de Polignac number, because 2000033 - 2^{2} = 2000029 is a prime.

It is a Duffinian number.

2000033 is a modest number, since divided by 33 gives 2 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2000039) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 117641 + ... + 117657.

2^{2000033} is an apocalyptic number.

It is an amenable number.

2000033 is a deficient number, since it is larger than the sum of its proper divisors (470593).

2000033 is an frugal number, since it uses more digits than its factorization.

2000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 2000033 is about 1414.2252295869. The cubic root of 2000033 is about 125.9927979423.

The spelling of 2000033 in words is "two million, thirty-three", and thus it is an aban number and an uban number.

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