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24422020420 = 2257226992641
BaseRepresentation
bin10110101111101010…
…100111010101000100
32100001000100011212211
4112233222213111010
5400004014123140
615115212353204
71523125514500
oct265752472504
970030304784
1024422020420
11a3a2659456
124896a75804
1323c287a875
1412796d3300
1597e0a42ea
hex5afaa7544

24422020420 has 72 divisors (see below), whose sum is σ = 59881935960. Its totient is φ = 8342046720.

The previous prime is 24422020417. The next prime is 24422020423. The reversal of 24422020420 is 2402022442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24422020417) and next prime (24422020423).

It can be written as a sum of positive squares in 4 ways, for example, as 3741279556 + 20680740864 = 61166^2 + 143808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24422020391 and 24422020400.

It is not an unprimeable number, because it can be changed into a prime (24422020423) 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 23 ways as a sum of consecutive naturals, for example, 217300 + ... + 309940.

It is an arithmetic number, because the mean of its divisors is an integer number (831693555).

Almost surely, 224422020420 is an apocalyptic number.

24422020420 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 24422020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29940967980).

24422020420 is an abundant number, since it is smaller than the sum of its proper divisors (35459915540).

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

24422020420 is a wasteful number, since it uses less digits than its factorization.

24422020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92933 (or 92924 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 24422020420 its reverse (2402022442), we get a palindrome (26824042862).

The spelling of 24422020420 in words is "twenty-four billion, four hundred twenty-two million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 269 490 538 980 1076 1345 1883 2690 3766 5380 7532 9415 13181 18830 26362 37660 52724 65905 92641 131810 185282 263620 370564 463205 648487 926410 1296974 1852820 2593948 3242435 4539409 6484870 9078818 12969740 18157636 22697045 24920429 45394090 49840858 90788180 99681716 124602145 174443003 249204290 348886006 498408580 697772012 872215015 1221101021 1744430030 2442202042 3488860060 4884404084 6105505105 12211010210 24422020420