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22200202020 = 22353725139841
BaseRepresentation
bin10100101011001111…
…000011001100100100
32010022011121010000110
4110223033003030210
5330431222431040
614110523213020
71414066414023
oct245317031444
963264533013
1022200202020
1194624873a7
124376977170
13212a47a219
1411085b68ba
1589dec7980
hex52b3c3324

22200202020 has 96 divisors (see below), whose sum is σ = 64096534656. Its totient is φ = 5736960000.

The previous prime is 22200202007. The next prime is 22200202039. The reversal of 22200202020 is 2020200222.

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

22200202020 is a modest number, since divided by 202020 gives 22200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22200201987 and 22200202005.

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, 537300 + ... + 577140.

It is an arithmetic number, because the mean of its divisors is an integer number (667672236).

Almost surely, 222200202020 is an apocalyptic number.

22200202020 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 22200202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32048267328).

22200202020 is an abundant number, since it is smaller than the sum of its proper divisors (41896332636).

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

22200202020 is a wasteful number, since it uses less digits than its factorization.

22200202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40141 (or 40139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22200202020 its reverse (2020200222), we get a palindrome (24220402242).

The spelling of 22200202020 in words is "twenty-two billion, two hundred million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 251 370 444 502 555 740 753 1004 1110 1255 1506 2220 2510 3012 3765 5020 7530 9287 15060 18574 27861 37148 39841 46435 55722 79682 92870 111444 119523 139305 159364 185740 199205 239046 278610 398410 478092 557220 597615 796820 1195230 1474117 2390460 2948234 4422351 5896468 7370585 8844702 10000091 14741170 17689404 20000182 22111755 29482340 30000273 40000364 44223510 50000455 60000546 88447020 100000910 120001092 150001365 200001820 300002730 370003367 600005460 740006734 1110010101 1480013468 1850016835 2220020202 3700033670 4440040404 5550050505 7400067340 11100101010 22200202020