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

bin | 110011010100… |

… | …101110010000 |

3 | 221022112201121 |

4 | 303110232100 |

5 | 11421013344 |

6 | 1200212024 |

7 | 222234100 |

oct | 63245620 |

9 | 27275647 |

10 | 13454224 |

11 | 765a3a3 |

12 | 460a014 |

13 | 2a30ba4 |

14 | 1b03200 |

15 | 12ab684 |

hex | cd4b90 |

13454224 has 45 divisors (see below), whose sum is σ = 30556731. Its totient is φ = 5722080.

The previous prime is 13454213. The next prime is 13454237. The reversal of 13454224 is 42245431.

It is a happy number.

The square root of 13454224 is 3668.

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

It is a super-2 number, since 2×13454224^{2} = 362032286884352, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102639 + ... + 102769.

Almost surely, 2^{13454224} is an apocalyptic number.

13454224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13454224 is the 3668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13454224

13454224 is an abundant number, since it is smaller than the sum of its proper divisors (17102507).

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

13454224 is an equidigital number, since it uses as much as digits as its factorization.

13454224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 140 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The cubic root of 13454224 is about 237.8407238817.

Multiplying 13454224 by its sum of digits (25), we get a square (336355600 = 18340^{2}).

Adding to 13454224 its reverse (42245431), we get a palindrome (55699655).

It can be divided in two parts, 13454 and 224, that multiplied together give a square (3013696 = 1736^{2}).

The spelling of 13454224 in words is "thirteen million, four hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 131 196 262 392 524 784 917 1048 1834 2096 3668 6419 7336 12838 14672 17161 25676 34322 51352 68644 102704 120127 137288 240254 274576 480508 840889 961016 1681778 1922032 3363556 6727112 13454224

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