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22302320000 = 27541491871
BaseRepresentation
bin10100110001010100…
…100110010110000000
32010120021202020112212
4110301110212112000
5331133343220000
614125012041252
71416446410052
oct246124462600
963507666485
1022302320000
119505095124
1243a5003228
132145682a6c
141117d998d2
158a7e49c35
hex531526580

22302320000 has 160 divisors (see below), whose sum is σ = 55922724000. Its totient is φ = 8856320000.

The previous prime is 22302319997. The next prime is 22302320017. The reversal of 22302320000 is 2320322.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11919065 + ... + 11920935.

It is an arithmetic number, because the mean of its divisors is an integer number (349517025).

Almost surely, 222302320000 is an apocalyptic number.

22302320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22302320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961362000).

22302320000 is an abundant number, since it is smaller than the sum of its proper divisors (33620404000).

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

22302320000 is an equidigital number, since it uses as much as digits as its factorization.

22302320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 22302320000 its reverse (2320322), we get a palindrome (22304640322).

The spelling of 22302320000 in words is "twenty-two billion, three hundred two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 149 160 200 250 298 320 400 500 596 625 640 745 800 1000 1192 1250 1490 1600 1871 2000 2384 2500 2980 3200 3725 3742 4000 4768 5000 5960 7450 7484 8000 9355 9536 10000 11920 14900 14968 16000 18625 18710 19072 20000 23840 29800 29936 37250 37420 40000 46775 47680 59600 59872 74500 74840 80000 93125 93550 95360 119200 119744 149000 149680 186250 187100 233875 238400 239488 278779 298000 299360 372500 374200 467750 476800 557558 596000 598720 745000 748400 935500 1115116 1169375 1192000 1197440 1393895 1490000 1496800 1871000 2230232 2338750 2384000 2787790 2980000 2993600 3742000 4460464 4677500 5575580 5960000 5987200 6969475 7484000 8920928 9355000 11151160 11920000 13938950 14968000 17841856 18710000 22302320 27877900 29936000 34847375 35683712 37420000 44604640 55755800 69694750 74840000 89209280 111511600 139389500 149680000 174236875 178418560 223023200 278779000 348473750 446046400 557558000 696947500 892092800 1115116000 1393895000 2230232000 2787790000 4460464000 5575580000 11151160000 22302320000