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

bin | 11011011101101… |

… | …01000000000000 |

3 | 121001111111021211 |

4 | 31232311000000 |

5 | 432434121040 |

6 | 34505455504 |

7 | 5465123260 |

oct | 1556650000 |

9 | 531444254 |

10 | 230379520 |

11 | 1090525a8 |

12 | 651a1594 |

13 | 38962c57 |

14 | 2284d7a0 |

15 | 1535a8ea |

hex | dbb5000 |

230379520 has 104 divisors (see below), whose sum is σ = 632214144. Its totient is φ = 78938112.

The previous prime is 230379517. The next prime is 230379547. The reversal of 230379520 is 25973032.

It is a super-3 number, since 3×230379520^{3} (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142557 + ... + 144163.

Almost surely, 2^{230379520} is an apocalyptic number.

230379520 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 230379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316107072).

230379520 is an abundant number, since it is smaller than the sum of its proper divisors (401834624).

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

230379520 is an equidigital number, since it uses as much as digits as its factorization.

230379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 230379520 is about 15178.2581345818. The cubic root of 230379520 is about 613.0293810049.

The spelling of 230379520 in words is "two hundred thirty million, three hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1607 1792 2048 2240 2560 3214 3584 4096 4480 5120 6428 7168 8035 8960 10240 11249 12856 14336 16070 17920 20480 22498 25712 28672 32140 35840 44996 51424 56245 64280 71680 89992 102848 112490 128560 143360 179984 205696 224980 257120 359968 411392 449960 514240 719936 822784 899920 1028480 1439872 1645568 1799840 2056960 2879744 3291136 3599680 4113920 5759488 6582272 7199360 8227840 11518976 14398720 16455680 23037952 28797440 32911360 46075904 57594880 115189760 230379520

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