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22112002020 = 223519175911027
BaseRepresentation
bin10100100101111110…
…100101111111100100
32010002000122002100210
4110211332211333210
5330241133031040
614054052535420
71411645626123
oct244576457744
963060562323
1022112002020
119417715439
124351321570
132115108684
1410da9b7aba
158963a4480
hex525fa5fe4

22112002020 has 96 divisors (see below), whose sum is σ = 65215180800. Its totient is φ = 5582507904.

The previous prime is 22112001991. The next prime is 22112002021. The reversal of 22112002020 is 2020021122.

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 = 22112001987 and 22112002005.

It is not an unprimeable number, because it can be changed into a prime (22112002021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1999747 + ... + 2010773.

It is an arithmetic number, because the mean of its divisors is an integer number (679324800).

Almost surely, 222112002020 is an apocalyptic number.

22112002020 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 22112002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32607590400).

22112002020 is an abundant number, since it is smaller than the sum of its proper divisors (43103178780).

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

22112002020 is a wasteful number, since it uses less digits than its factorization.

22112002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12815 counting only the distinct ones).

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

Adding to 22112002020 its reverse (2020021122), we get a palindrome (24132023142).

The spelling of 22112002020 in words is "twenty-two billion, one hundred twelve million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1759 3518 5277 7036 8795 10554 11027 17590 21108 22054 26385 33081 33421 35180 44108 52770 55135 66162 66842 100263 105540 110270 132324 133684 165405 167105 200526 209513 220540 330810 334210 401052 419026 501315 628539 661620 668420 838052 1002630 1047565 1257078 2005260 2095130 2514156 3142695 4190260 6285390 12570780 19396493 38792986 58189479 77585972 96982465 116378958 193964930 232757916 290947395 368533367 387929860 581894790 737066734 1105600101 1163789580 1474133468 1842666835 2211200202 3685333670 4422400404 5528000505 7370667340 11056001010 22112002020