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

bin | 11001011000001… |

… | …11010000000001 |

3 | 112211120222000222 |

4 | 30230013100001 |

5 | 414000000000 |

6 | 33042552425 |

7 | 5163353243 |

oct | 1454072001 |

9 | 484528028 |

10 | 212890625 |

11 | aa197972 |

12 | 5b368715 |

13 | 3514b7ac |

14 | 203ba093 |

15 | 13a53a85 |

hex | cb07401 |

212890625 has 20 divisors (see below), whose sum is σ = 268554660. Its totient is φ = 168750000.

The previous prime is 212890621. The next prime is 212890631. The reversal of 212890625 is 526098212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 12837889 + 200052736 = 3583^2 + 14144^2 .

It is an automorphic number since its square, 45322418212890625, ends in 212890625.

It is a trimorphic number since its cube, 9648717939853668212890625, ends in 212890625.

It is not a de Polignac number, because 212890625 - 2^{2} = 212890621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212890621) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1953071 + ... + 1953179.

It is an arithmetic number, because the mean of its divisors is an integer number (13427733).

Almost surely, 2^{212890625} is an apocalyptic number.

212890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212890625 is a deficient number, since it is larger than the sum of its proper divisors (55664035).

212890625 is an frugal number, since it uses more digits than its factorization.

212890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 212890625 is about 14590.7719124109. The cubic root of 212890625 is about 597.1070226294.

The spelling of 212890625 in words is "two hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 109 125 545 625 2725 3125 13625 15625 68125 78125 340625 390625 1703125 1953125 8515625 42578125 212890625

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