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21222253140 = 223511119326953
BaseRepresentation
bin10011110000111100…
…011110001001010100
32000210000102011100120
4103300330132021110
5321430344100030
613425510311540
71350623114064
oct236074361124
960700364316
1021222253140
119000454990
1241433585b0
132002990c4a
1410547693a4
15843200010
hex4f0f1e254

21222253140 has 96 divisors (see below), whose sum is σ = 64881081216. Its totient is φ = 5140285440.

The previous prime is 21222253103. The next prime is 21222253231. The reversal of 21222253140 is 4135222212.

It is a self number, because there is not a number n which added to its sum of digits gives 21222253140.

It is a congruent number.

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, 773904 + ... + 800856.

It is an arithmetic number, because the mean of its divisors is an integer number (675844596).

Almost surely, 221222253140 is an apocalyptic number.

21222253140 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 21222253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32440540608).

21222253140 is an abundant number, since it is smaller than the sum of its proper divisors (43658828076).

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

21222253140 is a wasteful number, since it uses less digits than its factorization.

21222253140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28169 (or 28167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 21222253140 its reverse (4135222212), we get a palindrome (25357475352).

The spelling of 21222253140 in words is "twenty-one billion, two hundred twenty-two million, two hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1193 2386 3579 4772 5965 7158 11930 13123 14316 17895 23860 26246 26953 35790 39369 52492 53906 65615 71580 78738 80859 107812 131230 134765 157476 161718 196845 262460 269530 296483 323436 393690 404295 539060 592966 787380 808590 889449 1185932 1482415 1617180 1778898 2964830 3557796 4447245 5929660 8894490 17788980 32154929 64309858 96464787 128619716 160774645 192929574 321549290 353704219 385859148 482323935 643098580 707408438 964647870 1061112657 1414816876 1768521095 1929295740 2122225314 3537042190 4244450628 5305563285 7074084380 10611126570 21222253140