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20222000220200 = 23521091083785597
BaseRepresentation
bin1001001100100010011010…
…01000111100100000101000
32122121012111222001011200112
410212101031020330200220
510122304124024021300
6111001505245153452
74154664005532362
oct446211510744050
978535458034615
1020222000220200
116497113a352a9
1223271aab5b888
13b38c0750118c
144dca70139d32
1525104997de35
hex12644d23c828

20222000220200 has 96 divisors (see below), whose sum is σ = 47452423992600. Its totient is φ = 8013757731840.

The previous prime is 20222000220187. The next prime is 20222000220221. The reversal of 20222000220200 is 202200022202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 354851341636 + 19867148878564 = 595694^2 + 4457258^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 236203802 + ... + 236289398.

Almost surely, 220222000220200 is an apocalyptic number.

20222000220200 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 20222000220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23726211996300).

20222000220200 is an abundant number, since it is smaller than the sum of its proper divisors (27230423772400).

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

20222000220200 is a wasteful number, since it uses less digits than its factorization.

20222000220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96559 (or 96550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20222000220200 its reverse (202200022202), we get a palindrome (20424200242402).

The spelling of 20222000220200 in words is "twenty trillion, two hundred twenty-two billion, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10837 10900 21674 21800 43348 54185 85597 86696 108370 171194 216740 270925 342388 427985 433480 541850 684776 855970 1083700 1181233 1711940 2139925 2167400 2362466 3423880 4279850 4724932 5906165 8559700 9330073 9449864 11812330 17119400 18660146 23624660 29530825 37320292 46650365 47249320 59061650 74640584 93300730 118123300 186601460 233251825 236246600 373202920 466503650 927614689 933007300 1855229378 1866014600 3710458756 4638073445 7420917512 9276146890 18552293780 23190367225 37104587560 46380734450 92761468900 101110001101 185522937800 202220002202 404440004404 505550005505 808880008808 1011100011010 2022200022020 2527750027525 4044400044040 5055500055050 10111000110100 20222000220200