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

bin | 1000001101100101… |

… | …1111000010000000 |

3 | 12200122011000000000 |

4 | 2003121133002000 |

5 | 14003322333000 |

6 | 1002430000000 |

7 | 105425623020 |

oct | 20331370200 |

9 | 5618130000 |

10 | 2204496000 |

11 | a31420523 |

12 | 516346000 |

13 | 291946c05 |

14 | 16cacba80 |

15 | cd809000 |

hex | 8365f080 |

2204496000 has 640 divisors, whose sum is σ = 9395717760. Its totient is φ = 503884800.

The previous prime is 2204495999. The next prime is 2204496017. The reversal of 2204496000 is 6944022.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2204496000^{2} = 9719605228032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 314927997 + ... + 314928003.

It is an arithmetic number, because the mean of its divisors is an integer number (14680809).

Almost surely, 2^{2204496000} is an apocalyptic number.

2204496000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697858880).

2204496000 is an abundant number, since it is smaller than the sum of its proper divisors (7191221760).

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

2204496000 is an frugal number, since it uses more digits than its factorization.

2204496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2204496000 is about 46952.0606576538. The cubic root of 2204496000 is about 1301.4768226546.

The spelling of 2204496000 in words is "two billion, two hundred four million, four hundred ninety-six thousand".

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