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

bin | 101011100111100 |

3 | 1010122010 |

4 | 11130330 |

5 | 1203312 |

6 | 251220 |

7 | 122052 |

oct | 53474 |

9 | 33563 |

10 | 22332 |

11 | 15862 |

12 | 10b10 |

13 | a21b |

14 | 81d2 |

15 | 693c |

hex | 573c |

22332 has 12 divisors (see below), whose sum is σ = 52136. Its totient is φ = 7440.

The previous prime is 22307. The next prime is 22343. The reversal of 22332 is 23322.

Adding to 22332 its reverse (23322), we get a palindrome (45654).

Subtracting 22332 from its reverse (23322), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 2 and 2332, that multiplied together give a palindrome (4664).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1861 = 22332 / (2 + 2 + 3 + 3 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as **2**^{3} + **2**^{9} + **3**^{4} + **3**^{9} + **2**^{11} .

It is a congruent number.

It is an unprimeable number.

22332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 919 + ... + 942.

2^{22332} is an apocalyptic number.

It is an amenable number.

22332 is an abundant number, since it is smaller than the sum of its proper divisors (29804).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26068).

22332 is a wasteful number, since it uses less digits than its factorization.

22332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1866 counting only the distinct ones).

The product of its digits is 72, while the sum is 12.

The square root of 22332 is about 149.4389507458. The cubic root of 22332 is about 28.1606412345.

The spelling of 22332 in words is "twenty-two thousand, three hundred thirty-two".

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