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2220431312 = 241121146917
BaseRepresentation
bin1000010001011001…
…0001011111010000
312201202010121010202
42010112101133100
514021412300222
61004155314332
7106011232451
oct20426213720
95652117122
102220431312
11a3a414a00
1251b74b9a8
132950361a8
14170c79128
15cee05892
hex845917d0

2220431312 has 30 divisors (see below), whose sum is σ = 4728742914. Its totient is φ = 1009286080.

The previous prime is 2220431287. The next prime is 2220431401. The reversal of 2220431312 is 2131340222.

It can be written as a sum of positive squares in only one way, i.e., 1901308816 + 319122496 = 43604^2 + 17864^2 .

It is a super-2 number, since 2×22204313122 = 9860630422620082688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 571523 + ... + 575394.

Almost surely, 22220431312 is an apocalyptic number.

2220431312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2220431312 is an abundant number, since it is smaller than the sum of its proper divisors (2508311602).

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

2220431312 is a wasteful number, since it uses less digits than its factorization.

2220431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146947 (or 1146930 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2220431312 is about 47121.4527789626. The cubic root of 2220431312 is about 1304.6052273507.

Adding to 2220431312 its reverse (2131340222), we get a palindrome (4351771534).

The spelling of 2220431312 in words is "two billion, two hundred twenty million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 1146917 2293834 4587668 9175336 12616087 18350672 25232174 50464348 100928696 138776957 201857392 277553914 555107828 1110215656 2220431312