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221122110220 = 2251119730716619
BaseRepresentation
bin1100110111101111100…
…1111010001100001100
3210010202101021001120221
43031323321322030030
512110324230011340
6245325422121124
721655416632164
oct3157371721414
9703671231527
10221122110220
1185860737240
1236a314201a4
1317b0c31954b
14a9b941d5a4
155b4299244a
hex337be7a30c

221122110220 has 96 divisors (see below), whose sum is σ = 510831256320. Its totient is φ = 79734493440.

The previous prime is 221122110161. The next prime is 221122110229. The reversal of 221122110220 is 22011221122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221122110194 and 221122110203.

It is not an unprimeable number, because it can be changed into a prime (221122110229) 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, 13297071 + ... + 13313689.

It is an arithmetic number, because the mean of its divisors is an integer number (5321158920).

Almost surely, 2221122110220 is an apocalyptic number.

221122110220 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 221122110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255415628160).

221122110220 is an abundant number, since it is smaller than the sum of its proper divisors (289709146100).

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

221122110220 is a wasteful number, since it uses less digits than its factorization.

221122110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17143 (or 17141 counting only the distinct ones).

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

Adding to 221122110220 its reverse (22011221122), we get a palindrome (243133331342).

It can be divided in two parts, 2211221102 and 20, that added together give a palindrome (2211221122).

The spelling of 221122110220 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 307 394 614 788 985 1228 1535 1970 2167 3070 3377 3940 4334 6140 6754 8668 10835 13508 16619 16885 21670 33238 33770 43340 60479 66476 67540 83095 120958 166190 182809 241916 302395 332380 365618 604790 665269 731236 914045 1209580 1330538 1828090 2661076 3273943 3326345 3656180 5102033 6547886 6652690 10204066 13095772 13305380 16369715 20408132 25510165 32739430 36013373 51020330 56122363 65478860 72026746 102040660 112244726 144053492 180066865 224489452 280611815 360133730 561223630 720267460 1005100501 1122447260 2010201002 4020402004 5025502505 10051005010 11056105511 20102010020 22112211022 44224422044 55280527555 110561055110 221122110220