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

bin | 1100111111101011001… |

… | …0110110010010000000 |

3 | 210100020202002010012200 |

4 | 3033322302312102000 |

5 | 12124204221400012 |

6 | 250320550553200 |

7 | 22062236616552 |

oct | 3177262662200 |

9 | 710222063180 |

10 | 223250965632 |

11 | 86753393882 |

12 | 37326368800 |

13 | 1808b39b3c6 |

14 | ab3c05b4d2 |

15 | 5c198093dc |

hex | 33facb6480 |

223250965632 has 72 divisors (see below), whose sum is σ = 642474060345. Its totient is φ = 74411642880.

The previous prime is 223250965621. The next prime is 223250965667. The reversal of 223250965632 is 236569052322.

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.

223250965632 is a *`hidden beast`* number, since 2 + 2 + 3 + 2 + 5 + 0 + 9 + 6 + 5 + 632 = 666.

223250965632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221298739776 + 1952225856 = 470424^2 + 44184^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=334104.

It is a super-3 number, since 3×223250965632^{3} (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16030032 + ... + 16043952.

Almost surely, 2^{223250965632} is an apocalyptic number.

It is an amenable number.

223250965632 is an abundant number, since it is smaller than the sum of its proper divisors (419223094713).

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

223250965632 is an frugal number, since it uses more digits than its factorization.

223250965632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27862 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 223250965632 in words is "two hundred twenty-three billion, two hundred fifty million, nine hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 13921 27842 41763 55684 83526 111368 125289 167052 222736 250578 334104 445472 501156 668208 890944 1002312 1336416 1781888 2004624 2672832 4009248 5345664 8018496 16036992 193794241 387588482 581382723 775176964 1162765446 1550353928 1744148169 2325530892 3100707856 3488296338 4651061784 6201415712 6976592676 9302123568 12402831424 13953185352 18604247136 24805662848 27906370704 37208494272 55812741408 74416988544 111625482816 223250965632

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