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

bin | 1000000110100110111000 |

3 | 10222220212200 |

4 | 20012212320 |

5 | 1020433331 |

6 | 113310200 |

7 | 24025023 |

oct | 10064670 |

9 | 3886780 |

10 | 2124216 |

11 | 1220a56 |

12 | 865360 |

13 | 594b43 |

14 | 3d41ba |

15 | 2be5e6 |

hex | 2069b8 |

2124216 has 48 divisors (see below), whose sum is σ = 5820360. Its totient is φ = 699840.

The previous prime is 2124197. The next prime is 2124223. The reversal of 2124216 is 6124212.

It is a super-2 number, since 2×2124216^{2} = 9024587229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11646 + ... + 11826.

2^{2124216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910180).

2124216 is an abundant number, since it is smaller than the sum of its proper divisors (3696144).

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

2124216 is a wasteful number, since it uses less digits than its factorization.

2124216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2124216 is about 1457.4690391223. The cubic root of 2124216 is about 128.5482667272.

Adding to 2124216 its reverse (6124212), we get a palindrome (8248428).

It can be divided in two parts, 21 and 24216, that multiplied together give a triangular number (508536 = T_{1008}).

The spelling of 2124216 in words is "two million, one hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 181 326 362 489 543 652 724 978 1086 1304 1448 1467 1629 1956 2172 2934 3258 3912 4344 5868 6516 11736 13032 29503 59006 88509 118012 177018 236024 265527 354036 531054 708072 1062108 2124216

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