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22100111220 = 223511128326099
BaseRepresentation
bin10100100101010001…
…001110111101110100
32010001012020222020210
4110211101032331310
5330230112024340
614052550025420
71411442563065
oct244521167564
963035228223
1022100111220
119410a33730
124349348270
1321128042b5
1410d91a056c
15895306180
hex52544ef74

22100111220 has 96 divisors (see below), whose sum is σ = 67560998400. Its totient is φ = 5353221760.

The previous prime is 22100111207. The next prime is 22100111227. The reversal of 22100111220 is 2211100122.

Adding to 22100111220 its reverse (2211100122), we get a palindrome (24311211342).

It can be divided in two parts, 221001 and 11220, that added together give a triangular number (232221 = T681).

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

It is a junction number, because it is equal to n+sod(n) for n = 22100111196 and 22100111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100111227) 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, 833731 + ... + 859829.

It is an arithmetic number, because the mean of its divisors is an integer number (703760400).

Almost surely, 222100111220 is an apocalyptic number.

22100111220 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 22100111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33780499200).

22100111220 is an abundant number, since it is smaller than the sum of its proper divisors (45460887180).

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

22100111220 is a wasteful number, since it uses less digits than its factorization.

22100111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27405 (or 27403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The spelling of 22100111220 in words is "twenty-two billion, one hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1283 2566 3849 5132 6415 7698 12830 14113 15396 19245 25660 26099 28226 38490 42339 52198 56452 70565 76980 78297 84678 104396 130495 141130 156594 169356 211695 260990 282260 287089 313188 391485 423390 521980 574178 782970 846780 861267 1148356 1435445 1565940 1722534 2870890 3445068 4306335 5741780 8612670 17225340 33485017 66970034 100455051 133940068 167425085 200910102 334850170 368335187 401820204 502275255 669700340 736670374 1004550510 1105005561 1473340748 1841675935 2009101020 2210011122 3683351870 4420022244 5525027805 7366703740 11050055610 22100111220