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22020201100 = 22524310314967
BaseRepresentation
bin10100100000100000…
…011001101010001100
32002211121220010011201
4110200200121222030
5330044132413400
614041013155244
71406452423012
oct244040315214
962747803151
1022020201100
11937a914007
12432662bb24
1320cc0a5ac1
1410cc71c8b2
1588d2be06a
hex520819a8c

22020201100 has 72 divisors (see below), whose sum is σ = 48952366848. Its totient is φ = 8593166400.

The previous prime is 22020201061. The next prime is 22020201109. The reversal of 22020201100 is 110202022.

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

It is not an unprimeable number, because it can be changed into a prime (22020201109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4430817 + ... + 4435783.

It is an arithmetic number, because the mean of its divisors is an integer number (679893984).

Almost surely, 222020201100 is an apocalyptic number.

22020201100 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 22020201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24476183424).

22020201100 is an abundant number, since it is smaller than the sum of its proper divisors (26932165748).

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

22020201100 is a wasteful number, since it uses less digits than its factorization.

22020201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055 (or 6048 counting only the distinct ones).

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

Adding to 22020201100 its reverse (110202022), we get a palindrome (22130403122).

The spelling of 22020201100 in words is "twenty-two billion, twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1031 1075 2062 2150 4124 4300 4967 5155 9934 10310 19868 20620 24835 25775 44333 49670 51550 88666 99340 103100 124175 177332 213581 221665 248350 427162 443330 496700 854324 886660 1067905 1108325 2135810 2216650 4271620 4433300 5120977 5339525 10241954 10679050 20483908 21358100 25604885 51209770 102419540 128024425 220202011 256048850 440404022 512097700 880808044 1101010055 2202020110 4404040220 5505050275 11010100550 22020201100