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

bin | 111111010000… |

… | …0000000000000 |

3 | 2022101202122012 |

4 | 1332200000000 |

5 | 31442124331 |

6 | 3142432052 |

7 | 551602634 |

oct | 176400000 |

9 | 68352565 |

10 | 33161216 |

11 | 1779a570 |

12 | b132628 |

13 | 6b40b2a |

14 | 4592dc4 |

15 | 2da082b |

hex | 1fa0000 |

33161216 has 72 divisors (see below), whose sum is σ = 75497184. Its totient is φ = 14417920.

The previous prime is 33161201. The next prime is 33161231. The reversal of 33161216 is 61216133.

Adding to 33161216 its reverse (61216133), we get a palindrome (94377349).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33161201) and next prime (33161231).

It is a Harshad number since it is a multiple of its sum of digits (23).

Its product of digits (648) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 33161191 and 33161200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1441781 + ... + 1441803.

It is an arithmetic number, because the mean of its divisors is an integer number (1048572).

Almost surely, 2^{33161216} is an apocalyptic number.

33161216 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748592).

33161216 is an abundant number, since it is smaller than the sum of its proper divisors (42335968).

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

33161216 is an frugal number, since it uses more digits than its factorization.

33161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 33161216 is about 5758.5776021514. The cubic root of 33161216 is about 321.2749138626.

The spelling of 33161216 in words is "thirty-three million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1024 1408 1472 2024 2048 2816 2944 4048 4096 5632 5888 8096 8192 11264 11776 16192 16384 22528 23552 32384 32768 45056 47104 64768 65536 90112 94208 129536 131072 180224 188416 259072 360448 376832 518144 720896 753664 1036288 1441792 1507328 2072576 3014656 4145152 8290304 16580608 33161216

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