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22112122020 = 223517181119771
BaseRepresentation
bin10100100101111111…
…000011010010100100
32010002000212011222020
4110211333003102210
5330241200401040
614054055303140
71411646636022
oct244577032244
963060764866
1022112122020
11941779760a
12435137aab0
13211514b191
1410daa09712
158963c9cd0
hex525fc34a4

22112122020 has 96 divisors (see below), whose sum is σ = 65918676096. Its totient is φ = 5519001600.

The previous prime is 22112121991. The next prime is 22112122031. The reversal of 22112122020 is 2022121122.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 124735 + ... + 244505.

It is an arithmetic number, because the mean of its divisors is an integer number (686652876).

Almost surely, 222112122020 is an apocalyptic number.

22112122020 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 22112122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32959338048).

22112122020 is an abundant number, since it is smaller than the sum of its proper divisors (43806554076).

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

22112122020 is a wasteful number, since it uses less digits than its factorization.

22112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119981 (or 119979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22112122020 its reverse (2022121122), we get a palindrome (24134243142).

The spelling of 22112122020 in words is "twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 181 204 255 340 362 510 543 724 905 1020 1086 1810 2172 2715 3077 3620 5430 6154 9231 10860 12308 15385 18462 30770 36924 46155 61540 92310 119771 184620 239542 359313 479084 598855 718626 1197710 1437252 1796565 2036107 2395420 3593130 4072214 6108321 7186260 8144428 10180535 12216642 20361070 21678551 24433284 30541605 40722140 43357102 61083210 65035653 86714204 108392755 122166420 130071306 216785510 260142612 325178265 368535367 433571020 650356530 737070734 1105606101 1300713060 1474141468 1842676835 2211212202 3685353670 4422424404 5528030505 7370707340 11056061010 22112122020