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2222131300 = 2252101220013
BaseRepresentation
bin1000010001110011…
…0000100001100100
312201212022222002021
42010130300201210
514022331200200
61004255552524
7106031542624
oct20434604144
95655288067
102222131300
11a40376154
1252022b744
132954acbbc
1417119c884
15d013e41a
hex84730864

2222131300 has 36 divisors (see below), whose sum is σ = 4869789876. Its totient is φ = 880048000.

The previous prime is 2222131271. The next prime is 2222131309. The reversal of 2222131300 is 31312222.

It can be written as a sum of positive squares in 6 ways, for example, as 89908324 + 2132222976 = 9482^2 + 46176^2 .

It is a super-3 number, since 3×22221313003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2222131309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99907 + ... + 120106.

It is an arithmetic number, because the mean of its divisors is an integer number (135271941).

Almost surely, 22222131300 is an apocalyptic number.

2222131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222131300 is an abundant number, since it is smaller than the sum of its proper divisors (2647658576).

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

2222131300 is a wasteful number, since it uses less digits than its factorization.

2222131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220128 (or 220121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2222131300 is about 47139.4876934402. The cubic root of 2222131300 is about 1304.9380827236.

Adding to 2222131300 its reverse (31312222), we get a palindrome (2253443522).

The spelling of 2222131300 in words is "two billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 220013 440026 880052 1100065 2200130 4400260 5500325 11000650 22001300 22221313 44442626 88885252 111106565 222213130 444426260 555532825 1111065650 2222131300