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

bin | 101011111100100 |

3 | 1010212100 |

4 | 11133210 |

5 | 1210000 |

6 | 252100 |

7 | 122412 |

oct | 53744 |

9 | 33770 |

10 | 22500 |

11 | 159a5 |

12 | 11030 |

13 | a31a |

14 | 82b2 |

15 | 6a00 |

hex | 57e4 |

22500 has 45 divisors (see below), whose sum is σ = 71071. Its totient is φ = 6000.

The previous prime is 22483. The next prime is 22501. The reversal of 22500 is 522.

22500 = T_{149} + T_{150}.

The square root of 22500 is 150.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 20736 = 42^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4498 + ... + 4502.

2^{22500} is an apocalyptic number.

22500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22500 is the 150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22500

22500 is an abundant number, since it is smaller than the sum of its proper divisors (48571).

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

22500 is a wasteful number, since it uses less digits than its factorization.

22500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The cubic root of 22500 is about 28.2310808664.

The spelling of 22500 in words is "twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500

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