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21242222820 = 223257131296839
BaseRepresentation
bin10011110010001000…
…101001100011100100
32000211101222201121100
4103302020221203210
5322001002112240
613431502320100
71351254625530
oct236210514344
960741881540
1021242222820
119010754455
124149b89030
132006b63620
141057286bc0
15844d46e30
hex4f22298e4

21242222820 has 144 divisors (see below), whose sum is σ = 79304359680. Its totient is φ = 4481872128.

The previous prime is 21242222801. The next prime is 21242222839. The reversal of 21242222820 is 2822224212.

It is a happy number.

21242222820 is a `hidden beast` number, since 2 + 12 + 422 + 228 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21242222801) and next prime (21242222839).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632040 + ... + 664799.

It is an arithmetic number, because the mean of its divisors is an integer number (550724720).

Almost surely, 221242222820 is an apocalyptic number.

21242222820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21242222820 is an abundant number, since it is smaller than the sum of its proper divisors (58062136860).

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

21242222820 is a wasteful number, since it uses less digits than its factorization.

21242222820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296874 (or 1296869 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 21242222820 in words is "twenty-one billion, two hundred forty-two million, two hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 1296839 2593678 3890517 5187356 6484195 7781034 9077873 11671551 12968390 15562068 16858907 18155746 19452585 23343102 25936780 27233619 33717814 36311492 38905170 45389365 46686204 50576721 54467238 58357755 67435628 77810340 81700857 84294535 90778730 101153442 108934476 116715510 118012349 136168095 151730163 163401714 168589070 181557460 202306884 233431020 236024698 252883605 272336190 303460326 326803428 337178140 354037047 408504285 472049396 505767210 544672380 590061745 606920652 708074094 758650815 817008570 1011534420 1062111141 1180123490 1416148188 1517301630 1634017140 1770185235 2124222282 2360246980 3034603260 3540370470 4248444564 5310555705 7080740940 10621111410 21242222820