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

bin | 1000100010100100001000 |

3 | 11012201221212 |

4 | 20202210020 |

5 | 1033114403 |

6 | 115552252 |

7 | 25012622 |

oct | 10424410 |

9 | 4181855 |

10 | 2238728 |

11 | 1299a98 |

12 | 8bb688 |

13 | 604cbb |

14 | 423c12 |

15 | 2e34d8 |

hex | 222908 |

2238728 has 20 divisors (see below), whose sum is σ = 4388415. Its totient is φ = 1070696.

The previous prime is 2238721. The next prime is 2238749. The reversal of 2238728 is 8278322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1119364 + 1119364 = 1058^2 + 1058^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=1058.

It is a d-powerful number, because it can be written as **2**^{8} + **2**^{14} + **3**^{10} + **8** + **7**^{3} + **2**^{16} + **8**^{7} .

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (223).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2238694 and 2238703.

It is not an unprimeable number, because it can be changed into a prime (2238721) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 97325 + ... + 97347.

2^{2238728} is an apocalyptic number.

It is an amenable number.

2238728 is a deficient number, since it is larger than the sum of its proper divisors (2149687).

2238728 is an frugal number, since it uses more digits than its factorization.

2238728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 25 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 2238728 is about 1496.2379489907. The cubic root of 2238728 is about 130.8178810732.

Multiplying 2238728 by its sum of digits (32), we get a 4-th power (71639296 = 92^{4}).

The spelling of 2238728 in words is "two million, two hundred thirty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 23 46 92 184 529 1058 2116 4232 12167 24334 48668 97336 279841 559682 1119364 2238728

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