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22000013420 = 22571116018923
BaseRepresentation
bin10100011111010011…
…011001000001101100
32002210012220110212212
4110133103121001230
5330024000412140
614035012345552
71406116012550
oct243723310154
962705813785
1022000013420
11936a485780
12431b9152b8
1320c7b58128
1410c9b85860
1588b632765
hex51f4d906c

22000013420 has 96 divisors (see below), whose sum is σ = 57642471936. Its totient is φ = 6852096000.

The previous prime is 22000013411. The next prime is 22000013459. The reversal of 22000013420 is 2431000022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22000013395 and 22000013404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2461079 + ... + 2470001.

It is an arithmetic number, because the mean of its divisors is an integer number (600442416).

Almost surely, 222000013420 is an apocalyptic number.

22000013420 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 22000013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28821235968).

22000013420 is an abundant number, since it is smaller than the sum of its proper divisors (35642458516).

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

22000013420 is a wasteful number, since it uses less digits than its factorization.

22000013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22000013420 its reverse (2431000022), we get a palindrome (24431013442).

The spelling of 22000013420 in words is "twenty-two billion, thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1601 3202 6404 8005 8923 11207 16010 17611 17846 22414 32020 35222 35692 44615 44828 56035 62461 70444 88055 89230 98153 112070 123277 124922 176110 178460 196306 224140 246554 249844 312305 352220 392612 490765 493108 616385 624610 687071 981530 1232770 1249220 1374142 1963060 2465540 2748284 3435355 6870710 13741420 14285723 28571446 57142892 71428615 100000061 142857230 157142953 200000122 285714460 314285906 400000244 500000305 628571812 785714765 1000000610 1100000671 1571429530 2000001220 2200001342 3142859060 4400002684 5500003355 11000006710 22000013420