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

bin | 101111001000… |

… | …011010011001 |

3 | 212020201011221 |

4 | 233020122121 |

5 | 11130331400 |

6 | 1120452041 |

7 | 210006031 |

oct | 57103231 |

9 | 25221157 |

10 | 12355225 |

11 | 6a79733 |

12 | 417a021 |

13 | 27378ac |

14 | 18d88c1 |

15 | 1140c1a |

hex | bc8699 |

12355225 has 27 divisors (see below), whose sum is σ = 16618077. Its totient is φ = 9110880.

The previous prime is 12355223. The next prime is 12355253. The reversal of 12355225 is 52255321.

It is a happy number.

The square root of 12355225 is 3515.

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

12355225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1172889 + 11182336 = 1083^2 + 3344^2 .

It is not a de Polignac number, because 12355225 - 2^{1} = 12355223 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 12355225.

It is not an unprimeable number, because it can be changed into a prime (12355223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 333907 + ... + 333943.

Almost surely, 2^{12355225} is an apocalyptic number.

12355225 is the 3515-th square number.

12355225 is the 1758-th centered octagonal number.

It is an amenable number.

12355225 is a deficient number, since it is larger than the sum of its proper divisors (4262852).

12355225 is an equidigital number, since it uses as much as digits as its factorization.

12355225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its digits is 3000, while the sum is 25.

The cubic root of 12355225 is about 231.1799788001.

Multiplying 12355225 by its sum of digits (25), we get a square (308880625 = 17575^{2}).

12355225 divided by its sum of digits (25) gives a square (494209 = 703^{2}).

The spelling of 12355225 in words is "twelve million, three hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 19 25 37 95 185 361 475 703 925 1369 1805 3515 6845 9025 13357 17575 26011 34225 66785 130055 333925 494209 650275 2471045 12355225

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