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2221011220 = 225611820501
BaseRepresentation
bin1000010001100001…
…1111000100010100
312201210020001121211
42010120133010110
514022034324340
61004215551204
7106016166241
oct20430370424
95653201554
102221011220
11a3a78066a
1251b98b504
132951aa12c
14170d8a5c8
15ceebc5ea
hex8461f114

2221011220 has 24 divisors (see below), whose sum is σ = 4740587208. Its totient is φ = 873840000.

The previous prime is 2221011187. The next prime is 2221011227. The reversal of 2221011220 is 221101222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23464336 + 2197546884 = 4844^2 + 46878^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2221011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221011227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909031 + ... + 911470.

It is an arithmetic number, because the mean of its divisors is an integer number (197524467).

Almost surely, 22221011220 is an apocalyptic number.

2221011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221011220 is an abundant number, since it is smaller than the sum of its proper divisors (2519575988).

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

2221011220 is a wasteful number, since it uses less digits than its factorization.

2221011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820571 (or 1820569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2221011220 is about 47127.6057104538. The cubic root of 2221011220 is about 1304.7187916465.

Adding to 2221011220 its reverse (221101222), we get a palindrome (2442112442).

The spelling of 2221011220 in words is "two billion, two hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1820501 3641002 7282004 9102505 18205010 36410020 111050561 222101122 444202244 555252805 1110505610 2221011220