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98229096224 = 2575931123899
BaseRepresentation
bin101101101111011101…
…0010000111100100000
3100101112202101002221222
41123132322100330200
53102133122034344
6113043102234212
710045131353510
oct1333672207440
9311482332858
1098229096224
1138727844966
1217054885968
13935596919c
144a7bb9d840
15284da2c5ee
hex16dee90f20

98229096224 has 96 divisors (see below), whose sum is σ = 225493632000. Its totient is φ = 41249859840.

The previous prime is 98229096223. The next prime is 98229096239. The reversal of 98229096224 is 42269092289.

It is not an unprimeable number, because it can be changed into a prime (98229096223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4098227 + ... + 4122125.

It is an arithmetic number, because the mean of its divisors is an integer number (2348892000).

Almost surely, 298229096224 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 98229096224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112746816000).

98229096224 is an abundant number, since it is smaller than the sum of its proper divisors (127264535776).

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

98229096224 is a wasteful number, since it uses less digits than its factorization.

98229096224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24286 (or 24278 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 98229096224 in words is "ninety-eight billion, two hundred twenty-nine million, ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 311 413 472 622 826 944 1244 1652 1888 2177 2488 3304 4354 4976 6608 8708 9952 13216 17416 18349 23899 34832 36698 47798 69664 73396 95596 128443 146792 167293 191192 256886 293584 334586 382384 513772 587168 669172 764768 1027544 1338344 1410041 2055088 2676688 2820082 4110176 5353376 5640164 7432589 9870287 11280328 14865178 19740574 22560656 29730356 39481148 45121312 52028123 59460712 78962296 104056246 118921424 157924592 208112492 237842848 315849184 416224984 438522751 832449968 877045502 1664899936 1754091004 3069659257 3508182008 6139318514 7016364016 12278637028 14032728032 24557274056 49114548112 98229096224