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

bin | 1000011010011000101001 |

3 | 11011001000000 |

4 | 20122120221 |

5 | 1031031400 |

6 | 115133213 |

7 | 24513141 |

oct | 10323051 |

9 | 4131000 |

10 | 2205225 |

11 | 1276900 |

12 | 8a4209 |

13 | 5c2989 |

14 | 415921 |

15 | 2d8600 |

hex | 21a629 |

2205225 has 63 divisors (see below), whose sum is σ = 4506439. Its totient is φ = 1069200.

The previous prime is 2205199. The next prime is 2205233. The reversal of 2205225 is 5225022.

Multipling 2205225 by its product of nonzero digits (400), we get a square (882090000 = 29700^{2}).

It can be divided in two parts, 220 and 5225, that added together give a palindrome (5445).

2205225 = 1^{3} + 2^{3} + ... + 54^{3}.

The square root of 2205225 is 1485.

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., 793881 + 1411344 = 891^2 + 1188^2 .

It is not a de Polignac number, because 2205225 - 2^{11} = 2203177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2205198 and 2205207.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 200470 + ... + 200480.

2^{2205225} is an apocalyptic number.

2205225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2205225 is the 1485-th square number.

2205225 is the 743-rd centered octagonal number.

It is an amenable number.

2205225 is an abundant number, since it is smaller than the sum of its proper divisors (2301214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2205225 is an equidigital number, since it uses as much as digits as its factorization.

2205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The cubic root of 2205225 is about 130.1620267693.

The spelling of 2205225 in words is "two million, two hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 243 275 297 363 405 495 605 675 729 825 891 1089 1215 1485 1815 2025 2475 2673 3025 3267 3645 4455 5445 6075 7425 8019 9075 9801 13365 16335 18225 22275 27225 29403 40095 49005 66825 81675 88209 147015 200475 245025 441045 735075 2205225

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