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

bin | 1000011110000001000100 |

3 | 11011210101221 |

4 | 20132001010 |

5 | 1032020400 |

6 | 115330124 |

7 | 24604411 |

oct | 10360104 |

9 | 4153357 |

10 | 2220100 |

11 | 1286aa3 |

12 | 8b0944 |

13 | 5c968c |

14 | 41b108 |

15 | 2dcc1a |

hex | 21e044 |

2220100 has 27 divisors (see below), whose sum is σ = 4850167. Its totient is φ = 882080.

The previous prime is 2220089. The next prime is 2220151. The reversal of 2220100 is 10222.

Adding to 2220100 its reverse (10222), we get a palindrome (2230322).

It is a happy number.

The square root of 2220100 is 1490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 662596 + 1557504 = 814^2 + 1248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14826 + ... + 14974.

2^{2220100} is an apocalyptic number.

2220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2220100 is the 1490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220100

2220100 is an abundant number, since it is smaller than the sum of its proper divisors (2630067).

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

2220100 is a wasteful number, since it uses less digits than its factorization.

2220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The cubic root of 2220100 is about 130.4540337125.

The spelling of 2220100 in words is "two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 22201 44402 88804 111005 222010 444020 555025 1110050 2220100

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