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21420302220 = 223252113591571
BaseRepresentation
bin10011111100101111…
…111101111110001100
32001021211002002121200
4103330233331332030
5322332044132340
613501303225500
71355546364462
oct237457757614
961254062550
1021420302220
1190a2225109
124199748290
132034a14255
141072ba0832
158557c1330
hex4fcbfdf8c

21420302220 has 144 divisors (see below), whose sum is σ = 65506371840. Its totient is φ = 5665564800.

The previous prime is 21420302203. The next prime is 21420302237. The reversal of 21420302220 is 2220302412.

21420302220 is a `hidden beast` number, since 2 + 142 + 0 + 302 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21420302203) and next prime (21420302237).

It is a super-2 number, since 2×214203022202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21420302193 and 21420302202.

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, 13634035 + ... + 13635605.

It is an arithmetic number, because the mean of its divisors is an integer number (454905360).

Almost surely, 221420302220 is an apocalyptic number.

21420302220 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 21420302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32753185920).

21420302220 is an abundant number, since it is smaller than the sum of its proper divisors (44086069620).

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

21420302220 is a wasteful number, since it uses less digits than its factorization.

21420302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21420302220 its reverse (2220302412), we get a palindrome (23640604632).

The spelling of 21420302220 in words is "twenty-one billion, four hundred twenty million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 359 422 633 718 844 1055 1077 1266 1436 1571 1795 1899 2110 2154 2532 3142 3165 3231 3590 3798 4220 4308 4713 5385 6284 6330 6462 7180 7596 7855 9426 9495 10770 12660 12924 14139 15710 16155 18852 18990 21540 23565 28278 31420 32310 37980 47130 56556 64620 70695 75749 94260 141390 151498 227247 282780 302996 331481 378745 454494 563989 662962 681741 757490 908988 994443 1127978 1136235 1325924 1363482 1514980 1657405 1691967 1988886 2255956 2272470 2726964 2819945 2983329 3314810 3383934 3408705 3977772 4544940 4972215 5075901 5639890 5966658 6629620 6767868 6817410 8459835 9944430 10151802 11279780 11933316 13634820 14916645 16919670 19888860 20303604 25379505 29833290 33839340 50759010 59666580 101518020 119001679 238003358 357005037 476006716 595008395 714010074 1071015111 1190016790 1428020148 1785025185 2142030222 2380033580 3570050370 4284060444 5355075555 7140100740 10710151110 21420302220