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

bin | 100110010010… |

… | …010000000000 |

3 | 200212220010000 |

4 | 212102100000 |

5 | 10032124344 |

6 | 555040000 |

7 | 151210062 |

oct | 46222000 |

9 | 20786100 |

10 | 10036224 |

11 | 5735400 |

12 | 3440000 |

13 | 21051c3 |

14 | 1493732 |

15 | d33a69 |

hex | 992400 |

10036224 has 165 divisors, whose sum is σ = 32942371. Its totient is φ = 3041280.

The previous prime is 10036183. The next prime is 10036231. The reversal of 10036224 is 42263001.

It is a happy number.

The square root of 10036224 is 3168.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10036197 and 10036206.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 912379 + ... + 912389.

Almost surely, 2^{10036224} is an apocalyptic number.

10036224 is the 3168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10036224

10036224 is an abundant number, since it is smaller than the sum of its proper divisors (22906147).

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

10036224 is an equidigital number, since it uses as much as digits as its factorization.

10036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 10036224 is about 215.7032963298.

Adding to 10036224 its reverse (42263001), we get a palindrome (52299225).

Multiplying 10036224 by its reverse (42263001), we get a square (424160944948224 = 20595168^{2}).

It can be divided in two parts, 1003 and 6224, that added together give a palindrome (7227).

The spelling of 10036224 in words is "ten million, thirty-six thousand, two hundred twenty-four".

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