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22110202020 = 22354119147057
BaseRepresentation
bin10100100101110111…
…101110100010100100
32010001220020122020010
4110211313232202210
5330240202431040
614053550210220
71411624421244
oct244567564244
963056218203
1022110202020
1194166a6035
1243507b3970
13211492829a
1410da669b24
1589614ae80
hex525dee8a4

22110202020 has 96 divisors (see below), whose sum is σ = 63751919616. Its totient is φ = 5722009600.

The previous prime is 22110202003. The next prime is 22110202031. The reversal of 22110202020 is 2020201122.

It is a super-2 number, since 2×221102020202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22110201987 and 22110202005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446332 + ... + 493388.

It is an arithmetic number, because the mean of its divisors is an integer number (664082496).

Almost surely, 222110202020 is an apocalyptic number.

22110202020 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 22110202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31875959808).

22110202020 is an abundant number, since it is smaller than the sum of its proper divisors (41641717596).

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

22110202020 is a wasteful number, since it uses less digits than its factorization.

22110202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47301 (or 47299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22110202020 its reverse (2020201122), we get a palindrome (24130403142).

The spelling of 22110202020 in words is "twenty-two billion, one hundred ten million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 191 205 246 382 410 492 573 615 764 820 955 1146 1230 1910 2292 2460 2865 3820 5730 7831 11460 15662 23493 31324 39155 46986 47057 78310 93972 94114 117465 141171 156620 188228 234930 235285 282342 469860 470570 564684 705855 941140 1411710 1929337 2823420 3858674 5788011 7717348 8987887 9646685 11576022 17975774 19293370 23152044 26963661 28940055 35951548 38586740 44939435 53927322 57880110 89878870 107854644 115760220 134818305 179757740 269636610 368503367 539273220 737006734 1105510101 1474013468 1842516835 2211020202 3685033670 4422040404 5527550505 7370067340 11055101010 22110202020