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2220404225 = 521337184649
BaseRepresentation
bin1000010001011000…
…1010111000000001
312201202002012222112
42010112022320001
514021410413400
61004154545105
7106011060464
oct20426127001
95652065875
102220404225
11a3a3a6616
1251b738195
13295026a70
14170c6d2db
15cedec835
hex8458ae01

2220404225 has 24 divisors (see below), whose sum is σ = 3045247800. Its totient is φ = 1595358720.

The previous prime is 2220404203. The next prime is 2220404231. The reversal of 2220404225 is 5224040222.

It can be written as a sum of positive squares in 12 ways, for example, as 480179569 + 1740224656 = 21913^2 + 41716^2 .

It is not a de Polignac number, because 2220404225 - 26 = 2220404161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2220404225.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80300 + ... + 104349.

It is an arithmetic number, because the mean of its divisors is an integer number (126885325).

Almost surely, 22220404225 is an apocalyptic number.

2220404225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2220404225 is a deficient number, since it is larger than the sum of its proper divisors (824843575).

2220404225 is a wasteful number, since it uses less digits than its factorization.

2220404225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184709 (or 184704 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2220404225 is about 47121.1653612259. The cubic root of 2220404225 is about 1304.5999223775.

Adding to 2220404225 its reverse (5224040222), we get a palindrome (7444444447).

The spelling of 2220404225 in words is "two billion, two hundred twenty million, four hundred four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 325 481 925 2405 12025 184649 923245 2400437 4616225 6832013 12002185 34160065 60010925 88816169 170800325 444080845 2220404225