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

bin | 101010010110… |

… | …1011001000000 |

3 | 1112210011221001 |

4 | 1110231121000 |

5 | 21141043031 |

6 | 2111541344 |

7 | 356514400 |

oct | 124553100 |

9 | 45704831 |

10 | 22206016 |

11 | 11597788 |

12 | 752a854 |

13 | 47a6571 |

14 | 2d40800 |

15 | 1e39861 |

hex | 152d640 |

22206016 has 84 divisors (see below), whose sum is σ = 52497228. Its totient is φ = 9289728.

The previous prime is 22205987. The next prime is 22206047. The reversal of 22206016 is 61060222.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 10916416 = 3360^2 + 3304^2 .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 22205984 and 22206002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228880 + ... + 228976.

It is an arithmetic number, because the mean of its divisors is an integer number (624967).

Almost surely, 2^{22206016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248614).

22206016 is an abundant number, since it is smaller than the sum of its proper divisors (30291212).

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

22206016 is an equidigital number, since it uses as much as digits as its factorization.

22206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 22206016 is about 4712.3259649562. The cubic root of 22206016 is about 281.0758608605.

Adding to 22206016 its reverse (61060222), we get a palindrome (83266238).

The spelling of 22206016 in words is "twenty-two million, two hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 97 98 112 146 194 196 224 292 388 392 448 511 584 679 776 784 1022 1168 1358 1552 1568 2044 2336 2716 3104 3136 3577 4088 4672 4753 5432 6208 7081 7154 8176 9506 10864 14162 14308 16352 19012 21728 28324 28616 32704 38024 43456 49567 56648 57232 76048 99134 113296 114464 152096 198268 226592 228928 304192 346969 396536 453184 693938 793072 1387876 1586144 2775752 3172288 5551504 11103008 22206016

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