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

bin | 1000000110001000010101 |

3 | 10222211012021 |

4 | 20012020111 |

5 | 1020403021 |

6 | 113253141 |

7 | 24016231 |

oct | 10061025 |

9 | 3884167 |

10 | 2122261 |

11 | 121a539 |

12 | 8641b1 |

13 | 593c9b |

14 | 3d35c1 |

15 | 2bdc41 |

hex | 206215 |

2122261 has 6 divisors (see below), whose sum is σ = 2157686. Its totient is φ = 2087400.

The previous prime is 2122259. The next prime is 2122277. The reversal of 2122261 is 1622212.

Adding to 2122261 its reverse (1622212), we get a palindrome (3744473).

It can be written as a sum of positive squares in only one way, i.e., 1134225 + 988036 = 1065^2 + 994^2 .

It is not a de Polignac number, because 2122261 - 2^{1} = 2122259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4831 + ... + 5251.

2^{2122261} is an apocalyptic number.

2122261 is the 652-nd centered decagonal number.

It is an amenable number.

2122261 is a deficient number, since it is larger than the sum of its proper divisors (35425).

2122261 is an frugal number, since it uses more digits than its factorization.

2122261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 492 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 2122261 is about 1456.7982015365. The cubic root of 2122261 is about 128.5088186048.

The spelling of 2122261 in words is "two million, one hundred twenty-two thousand, two hundred sixty-one".

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