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22201100020 = 225111746312821
BaseRepresentation
bin10100101011010010…
…011110011011110100
32010022020021201211201
4110223102132123310
5330431440200040
614110554342244
71414110144061
oct245322363364
963266251751
1022201100020
119462a40050
12437712a984
13212a702b98
14110876bc68
1589e103a9a
hex52b49e6f4

22201100020 has 96 divisors (see below), whose sum is σ = 53973029376. Its totient is φ = 7581235200.

The previous prime is 22201099951. The next prime is 22201100021. The reversal of 22201100020 is 2000110222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725210 + ... + 1738030.

It is an arithmetic number, because the mean of its divisors is an integer number (562219056).

Almost surely, 222201100020 is an apocalyptic number.

22201100020 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 22201100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26986514688).

22201100020 is an abundant number, since it is smaller than the sum of its proper divisors (31771929356).

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

22201100020 is a wasteful number, since it uses less digits than its factorization.

22201100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22201100020 its reverse (2000110222), we get a palindrome (24201210242).

It can be divided in two parts, 22201 and 100020, that added together give a palindrome (122221).

The spelling of 22201100020 in words is "twenty-two billion, two hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 463 748 926 935 1852 1870 2315 3740 4630 5093 7871 9260 10186 12821 15742 20372 25465 25642 31484 39355 50930 51284 64105 78710 86581 101860 128210 141031 157420 173162 217957 256420 282062 346324 432905 435914 564124 705155 865810 871828 1089785 1410310 1731620 2179570 2397527 2820620 4359140 4795054 5936123 9590108 11872246 11987635 23744492 23975270 29680615 47950540 59361230 65297353 100914091 118722460 130594706 201828182 261189412 326486765 403656364 504570455 652973530 1009140910 1110055001 1305947060 2018281820 2220110002 4440220004 5550275005 11100550010 22201100020