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

bin | 1000100010110000000000 |

3 | 11012210000000 |

4 | 20202300000 |

5 | 1033130423 |

6 | 120000000 |

7 | 25015056 |

oct | 10426000 |

9 | 4183000 |

10 | 2239488 |

11 | 129a619 |

12 | 900000 |

13 | 605454 |

14 | 4241d6 |

15 | 2e3843 |

hex | 222c00 |

2239488 has 88 divisors (see below), whose sum is σ = 6714160. Its totient is φ = 746496.

The previous prime is 2239459. The next prime is 2239519. The reversal of 2239488 is 8849322.

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.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)^{6} ⋅ 2!.

It is a super-5 number, since 5×2239488^{5} (a number of 33 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746495 + 746496 + 746497.

2^{2239488} 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 2239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357080).

2239488 is an abundant number, since it is smaller than the sum of its proper divisors (4474672).

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

2239488 is an frugal number, since it uses more digits than its factorization.

2239488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 5 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2239488 is about 1496.4918977395. The cubic root of 2239488 is about 130.8326826839.

Multiplying 2239488 by its sum of digits (36), we get a cube (80621568 = 432^{3}).

Multiplying 2239488 by its product of digits (27648), we get a 10-th power (61917364224 = 12^{10}).

2239488 divided by its product of digits (27648) gives a 4-th power (81 = 3^{4}).

The spelling of 2239488 in words is "two million, two hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2187 2304 2592 2916 3072 3456 3888 4374 4608 5184 5832 6912 7776 8748 9216 10368 11664 13824 15552 17496 20736 23328 27648 31104 34992 41472 46656 62208 69984 82944 93312 124416 139968 186624 248832 279936 373248 559872 746496 1119744 2239488

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