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21241244220 = 22357222213253
BaseRepresentation
bin10011110010000100…
…111010101000111100
32000211100011000012220
4103302010322220330
5322000224303340
613431425325340
71351243411500
oct236204725074
960740130186
1021241244220
119010146199
124149796850
1320068b0081
1410570b0300
15844c01ed0
hex4f213aa3c

21241244220 has 144 divisors (see below), whose sum is σ = 69238195488. Its totient is φ = 4851463680.

The previous prime is 21241244209. The next prime is 21241244231. The reversal of 21241244220 is 2244214212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21241244209) and next prime (21241244231).

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 47 ways as a sum of consecutive naturals, for example, 6528114 + ... + 6531366.

It is an arithmetic number, because the mean of its divisors is an integer number (480820802).

Almost surely, 221241244220 is an apocalyptic number.

21241244220 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 21241244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34619097744).

21241244220 is an abundant number, since it is smaller than the sum of its proper divisors (47996951268).

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

21241244220 is a wasteful number, since it uses less digits than its factorization.

21241244220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21241244220 its reverse (2244214212), we get a palindrome (23485458432).

The spelling of 21241244220 in words is "twenty-one billion, two hundred forty-one million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2221 2940 3253 4442 6506 6663 8884 9759 11105 13012 13326 15547 16265 19518 22210 22771 26652 31094 32530 33315 39036 44420 45542 46641 48795 62188 65060 66630 68313 77735 91084 93282 97590 108829 113855 133260 136626 155470 159397 186564 195180 217658 227710 233205 273252 310940 318794 326487 341565 435316 455420 466410 478191 544145 637588 652974 683130 796985 932820 956382 1088290 1305948 1366260 1593970 1632435 1912764 2176580 2390955 3187940 3264870 4781910 6529740 7224913 9563820 14449826 21674739 28899652 36124565 43349478 50574391 72249130 86698956 101148782 108373695 144498260 151723173 202297564 216747390 252871955 303446346 354020737 433494780 505743910 606892692 708041474 758615865 1011487820 1062062211 1416082948 1517231730 1770103685 2124124422 3034463460 3540207370 4248248844 5310311055 7080414740 10620622110 21241244220