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110222211220 = 225111933477481
BaseRepresentation
bin110011010100111000…
…0010111100010010100
3101112111120112110212021
41212221300113202110
53301213341224340
6122345124302524
710651260223402
oct1465160274224
9345446473767
10110222211220
1142821623750
1219441241a44
13a51755cc34
145498908472
152d0188ce4a
hex19a9c17894

110222211220 has 96 divisors (see below), whose sum is σ = 254582891136. Its totient is φ = 39752908800.

The previous prime is 110222211217. The next prime is 110222211241. The reversal of 110222211220 is 22112222011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110222211194 and 110222211203.

It is a congruent number.

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, 14729880 + ... + 14737360.

It is an arithmetic number, because the mean of its divisors is an integer number (2651905116).

Almost surely, 2110222211220 is an apocalyptic number.

110222211220 is a gapful number since it is divisible by the number (10) 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 110222211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127291445568).

110222211220 is an abundant number, since it is smaller than the sum of its proper divisors (144360679916).

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

110222211220 is a wasteful number, since it uses less digits than its factorization.

110222211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110222211220 its reverse (22112222011), we get a palindrome (132334433231).

The spelling of 110222211220 in words is "one hundred ten billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 347 386 694 772 965 1388 1735 1930 2123 3470 3817 3860 4246 6940 7481 7634 8492 10615 14962 15268 19085 21230 29924 37405 38170 42460 66971 74810 76340 82291 133942 149620 164582 267884 329164 334855 411455 669710 736681 822910 1339420 1443833 1473362 1645820 2595907 2887666 2946724 3683405 5191814 5775332 7219165 7366810 10383628 12979535 14438330 14733620 15882163 25959070 28554977 28876660 31764326 51918140 57109954 63528652 79410815 114219908 142774885 158821630 285549770 317643260 501010051 571099540 1002020102 2004040204 2505050255 5010100510 5511110561 10020201020 11022221122 22044442244 27555552805 55111105610 110222211220