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22241043220 = 225111728121163
BaseRepresentation
bin10100101101101010…
…110110001100010100
32010102000110001121111
4110231222312030110
5331022201340340
614114542424404
71415103514414
oct245552661424
963360401544
1022241043220
119483541a60
124388592104
132135a79906
14110dba8644
158a2893aea
hex52dab6314

22241043220 has 96 divisors (see below), whose sum is σ = 54143945856. Its totient is φ = 7584460800.

The previous prime is 22241043179. The next prime is 22241043221. The reversal of 22241043220 is 2234014222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22241043191 and 22241043200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241043221) by changing a digit.

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, 1040359 + ... + 1061521.

It is an arithmetic number, because the mean of its divisors is an integer number (563999436).

Almost surely, 222241043220 is an apocalyptic number.

22241043220 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 22241043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27071972928).

22241043220 is an abundant number, since it is smaller than the sum of its proper divisors (31902902636).

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

22241043220 is a wasteful number, since it uses less digits than its factorization.

22241043220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21481 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22241043220 its reverse (2234014222), we get a palindrome (24475057442).

The spelling of 22241043220 in words is "twenty-two billion, two hundred forty-one million, forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 281 340 374 562 748 935 1124 1405 1870 2810 3091 3740 4777 5620 6182 9554 12364 15455 19108 21163 23885 30910 42326 47770 52547 61820 84652 95540 105094 105815 210188 211630 232793 262735 359771 423260 465586 525470 719542 931172 1050940 1163965 1439084 1798855 2327930 3597710 3957481 4655860 5946803 7195420 7914962 11893606 15829924 19787405 23787212 29734015 39574810 59468030 65414833 79149620 101095651 118936060 130829666 202191302 261659332 327074165 404382604 505478255 654148330 1010956510 1112052161 1308296660 2021913020 2224104322 4448208644 5560260805 11120521610 22241043220