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

bin | 101011010111001 |

3 | 1010110021 |

4 | 11122321 |

5 | 1202301 |

6 | 250441 |

7 | 121504 |

oct | 53271 |

9 | 33407 |

10 | 22201 |

11 | 15753 |

12 | 10a21 |

13 | a14a |

14 | 813b |

15 | 68a1 |

hex | 56b9 |

22201 has 3 divisors (see below), whose sum is σ = 22351. Its totient is φ = 22052.

The previous prime is 22193. The next prime is 22229. The reversal of 22201 is 10222.

Adding to 22201 its reverse (10222), we get a palindrome (32423).

22201 = T_{148} + T_{149}.

It is a happy number.

The square root of 22201 is 149.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2601 + 19600 = 51^2 + 140^2 .

It is not a de Polignac number, because 22201 - 2^{3} = 22193 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22271) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 75 + ... + 223.

2^{22201} is an apocalyptic number.

22201 is the 149-th square number.

22201 is the 75-th centered octagonal number.

It is an amenable number.

22201 is a deficient number, since it is larger than the sum of its proper divisors (150).

22201 is an frugal number, since it uses more digits than its factorization.

22201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The cubic root of 22201 is about 28.1054695685.

The spelling of 22201 in words is "twenty-two thousand, two hundred one", and thus it is an iban number.

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