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22222222220 = 22511412719091
BaseRepresentation
bin10100101100100011…
…000011001110001100
32010100201000212001102
4110230203003032030
5331002342102340
614113031202232
71414454525612
oct245443031614
963321025042
1022222222220
119473957510
124382216378
132131bba023
14110b4a96b2
158a0dc7215
hex52c8c338c

22222222220 has 96 divisors (see below), whose sum is σ = 52348972032. Its totient is φ = 7853760000.

The previous prime is 22222222189. The next prime is 22222222223. The reversal of 22222222220 is 2222222222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22222222192 and 22222222201.

It is not an unprimeable number, because it can be changed into a prime (22222222223) 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, 2439875 + ... + 2448965.

It is an arithmetic number, because the mean of its divisors is an integer number (545301792).

Almost surely, 222222222220 is an apocalyptic number.

22222222220 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 22222222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26174486016).

22222222220 is an abundant number, since it is smaller than the sum of its proper divisors (30126749812).

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

22222222220 is a wasteful number, since it uses less digits than its factorization.

22222222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9423 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

22222222220 divided by its sum of digits (20) gives a palindrome (1111111111).

Adding to 22222222220 its reverse (2222222222), we get a palindrome (24444444442).

It can be divided in two parts, 222222 and 22220, that added together give a palindrome (244442).

The spelling of 22222222220 in words is "twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9020 9091 11111 11924 14905 18182 22222 29810 36364 44444 45455 55555 59620 90910 100001 111110 122221 181820 200002 222220 244442 372731 400004 488884 500005 611105 745462 1000010 1222210 1490924 1863655 2000020 2444420 2463661 3727310 4100041 4927322 7454620 8200082 9854644 12318305 16400164 20500205 24636610 27100271 41000410 49273220 54200542 82000820 101010101 108401084 135501355 202020202 271002710 404040404 505050505 542005420 1010101010 1111111111 2020202020 2222222222 4444444444 5555555555 11111111110 22222222220