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24214312220 = 2257436915821
BaseRepresentation
bin10110100011010010…
…010001010100011100
32022111112111111210112
4112203102101110130
5344042330442340
615042432425152
71515024154310
oct264322212434
968445444715
1024214312220
11a2a639118a
1248393a81b8
13238b824bc7
141259ca5b40
1596ac26065
hex5a349151c

24214312220 has 96 divisors (see below), whose sum is σ = 59562134016. Its totient is φ = 8095852800.

The previous prime is 24214312217. The next prime is 24214312229. The reversal of 24214312220 is 2221341242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24214312229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4156910 + ... + 4162730.

It is an arithmetic number, because the mean of its divisors is an integer number (620438896).

Almost surely, 224214312220 is an apocalyptic number.

24214312220 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 24214312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29781067008).

24214312220 is an abundant number, since it is smaller than the sum of its proper divisors (35347821796).

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

24214312220 is a wasteful number, since it uses less digits than its factorization.

24214312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24214312220 its reverse (2221341242), we get a palindrome (26435653462).

The spelling of 24214312220 in words is "twenty-four billion, two hundred fourteen million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 691 860 1204 1382 1505 2764 3010 3455 4837 5821 6020 6910 9674 11642 13820 19348 23284 24185 29105 29713 40747 48370 58210 59426 81494 96740 116420 118852 148565 162988 203735 207991 250303 297130 407470 415982 500606 594260 814940 831964 1001212 1039955 1251515 1752121 2079910 2503030 3504242 4022311 4159820 5006060 7008484 8044622 8760605 16089244 17521210 20111555 28156177 35042420 40223110 56312354 80446220 112624708 140780885 172959373 281561770 345918746 563123540 691837492 864796865 1210715611 1729593730 2421431222 3459187460 4842862444 6053578055 12107156110 24214312220