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22220111120 = 24517130312539
BaseRepresentation
bin10100101100011010…
…111111110100010000
32010100120001121011112
4110230122333310100
5331001322023440
614112514032452
71414430554034
oct245432776420
963316047145
1022220111120
1194727453a9
124381578728
13213162b15c
14110b0ba1c4
158a0b0b965
hex52c6bfd10

22220111120 has 80 divisors (see below), whose sum is σ = 54747031680. Its totient is φ = 8358131712.

The previous prime is 22220111119. The next prime is 22220111131. The reversal of 22220111120 is 2111102222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22220111095 and 22220111104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765811 + ... + 1778349.

It is an arithmetic number, because the mean of its divisors is an integer number (684337896).

Almost surely, 222220111120 is an apocalyptic number.

22220111120 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 22220111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373515840).

22220111120 is an abundant number, since it is smaller than the sum of its proper divisors (32526920560).

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

22220111120 is a wasteful number, since it uses less digits than its factorization.

22220111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13872 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22220111120 its reverse (2111102222), we get a palindrome (24331213342).

The spelling of 22220111120 in words is "twenty-two billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1303 1360 2606 5212 6515 10424 12539 13030 20848 22151 25078 26060 44302 50156 52120 62695 88604 100312 104240 110755 125390 177208 200624 213163 221510 250780 354416 426326 443020 501560 852652 886040 1003120 1065815 1705304 1772080 2131630 3410608 4263260 8526520 16338317 17053040 32676634 65353268 81691585 130706536 163383170 261413072 277751389 326766340 555502778 653532680 1111005556 1307065360 1388756945 2222011112 2777513890 4444022224 5555027780 11110055560 22220111120