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

bin | 100111011000… |

… | …010100011001 |

3 | 201102110210200 |

4 | 213120110121 |

5 | 10120320400 |

6 | 1005132413 |

7 | 153513603 |

oct | 47302431 |

9 | 21373720 |

10 | 10323225 |

11 | 5910aa0 |

12 | 355a109 |

13 | 21a5a23 |

14 | 152a173 |

15 | d8db00 |

hex | 9d8519 |

10323225 has 72 divisors (see below), whose sum is σ = 20852832. Its totient is φ = 4838400.

The previous prime is 10323223. The next prime is 10323227. The reversal of 10323225 is 52232301.

Adding to 10323225 its reverse (52232301), we get a palindrome (62555526).

It is an interprime number because it is at equal distance from previous prime (10323223) and next prime (10323227).

It is not a de Polignac number, because 10323225 - 2^{1} = 10323223 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10323198 and 10323207.

It is not an unprimeable number, because it can be changed into a prime (10323223) 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 71 ways as a sum of consecutive naturals, for example, 106377 + ... + 106473.

It is a vampire number, since it can be written as 3201 ⋅ 3225 (with its own digits).

Almost surely, 2^{10323225} is an apocalyptic number.

10323225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10323225 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10323225 is a wasteful number, since it uses less digits than its factorization.

10323225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10323225 is about 3212.9775909583. The cubic root of 10323225 is about 217.7401232293.

The spelling of 10323225 in words is "ten million, three hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 43 45 55 75 97 99 129 165 215 225 275 291 387 473 485 495 645 825 873 1067 1075 1419 1455 1935 2365 2425 2475 3201 3225 4171 4257 4365 5335 7095 7275 9603 9675 11825 12513 16005 20855 21285 21825 26675 35475 37539 45881 48015 62565 80025 104275 106425 137643 187695 229405 240075 312825 412929 688215 938475 1147025 2064645 3441075 10323225

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