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

bin | 1011101101011… |

… | …00100000000000 |

3 | 20211211022011200 |

4 | 11312230200000 |

5 | 200121133003 |

6 | 13425141200 |

7 | 2301614502 |

oct | 566544000 |

9 | 224738150 |

10 | 98224128 |

11 | 50499272 |

12 | 28a8a800 |

13 | 174713b2 |

14 | d08bd72 |

15 | 89536a3 |

hex | 5dac800 |

98224128 has 108 divisors (see below), whose sum is σ = 287628705. Its totient is φ = 32292864.

The previous prime is 98224127. The next prime is 98224153. The reversal of 98224128 is 82142289.

Multipling 98224128 by its product of digits (18432), we get a square (1810467127296 = 1345536^{2}).

98224128 divided by its product of digits (18432) gives a square (5329 = 73^{2}).

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 can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 451584 = 9888^2 + 672^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=7008.

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 junction number, because it is equal to *n*+sod(*n*) for *n* = 98224092 and 98224101.

It is not an unprimeable number, because it can be changed into a prime (98224121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1345500 + ... + 1345572.

Almost surely, 2^{98224128} 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 98224128

98224128 is an abundant number, since it is smaller than the sum of its proper divisors (189404577).

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

98224128 is an equidigital number, since it uses as much as digits as its factorization.

98224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 78 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 98224128 is about 9910.8086451107. The cubic root of 98224128 is about 461.3948336675.

The spelling of 98224128 in words is "ninety-eight million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 2048 2304 2336 2628 3072 3504 4608 4672 5256 5329 6144 7008 9216 9344 10512 10658 14016 15987 18432 18688 21024 21316 28032 31974 37376 42048 42632 47961 56064 63948 74752 84096 85264 95922 112128 127896 149504 168192 170528 191844 224256 255792 336384 341056 383688 448512 511584 672768 682112 767376 1023168 1345536 1364224 1534752 2046336 2728448 3069504 4092672 5456896 6139008 8185344 10913792 12278016 16370688 24556032 32741376 49112064 98224128

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