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2223420980 = 2251124122409
BaseRepresentation
bin1000010010000110…
…1011011000110100
312201221202111012012
42010201223120310
514023143432410
61004343343352
7106045523624
oct20441533064
95657674165
102223420980
11a41077100
12520751b58
13295841c21
14171416884
15d02e6605
hex8486b634

2223420980 has 72 divisors (see below), whose sum is σ = 5257654920. Its totient is φ = 788761600.

The previous prime is 2223420977. The next prime is 2223420989. The reversal of 2223420980 is 890243222.

It can be written as a sum of positive squares in 4 ways, for example, as 11035684 + 2212385296 = 3322^2 + 47036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223420989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88016 + ... + 110424.

It is an arithmetic number, because the mean of its divisors is an integer number (73022985).

Almost surely, 22223420980 is an apocalyptic number.

2223420980 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 2223420980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628827460).

2223420980 is an abundant number, since it is smaller than the sum of its proper divisors (3034233940).

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

2223420980 is a wasteful number, since it uses less digits than its factorization.

2223420980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22481 (or 22468 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2223420980 is about 47153.1651111566. The cubic root of 2223420980 is about 1305.1904871109.

The spelling of 2223420980 in words is "two billion, two hundred twenty-three million, four hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 22409 24805 44818 49610 89636 99220 112045 224090 246499 448180 492998 918769 985996 1232495 1837538 2464990 2711489 3675076 4593845 4929980 5422978 9187690 10106459 10845956 13557445 18375380 20212918 27114890 40425836 50532295 54229780 101064590 111171049 202129180 222342098 444684196 555855245 1111710490 2223420980