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2223023120 = 24527787789
BaseRepresentation
bin1000010010000000…
…1010010000010000
312201221000021102122
42010200022100100
514023043214440
61004331033412
7106042245653
oct20440122020
95657007378
102223023120
11a4092519a
1252059b868
13295732ac6
1417135189a
15d02687b5
hex8480a410

2223023120 has 20 divisors (see below), whose sum is σ = 5168528940. Its totient is φ = 889209216.

The previous prime is 2223023093. The next prime is 2223023141. The reversal of 2223023120 is 213203222.

It can be written as a sum of positive squares in 2 ways, for example, as 743543824 + 1479479296 = 27268^2 + 38464^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13893815 + ... + 13893974.

It is an arithmetic number, because the mean of its divisors is an integer number (258426447).

Almost surely, 22223023120 is an apocalyptic number.

2223023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223023120 is an abundant number, since it is smaller than the sum of its proper divisors (2945505820).

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

2223023120 is a wasteful number, since it uses less digits than its factorization.

2223023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27787802 (or 27787796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2223023120 is about 47148.9461175963. The cubic root of 2223023120 is about 1305.1126319995.

Adding to 2223023120 its reverse (213203222), we get a palindrome (2436226342).

The spelling of 2223023120 in words is "two billion, two hundred twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27787789 55575578 111151156 138938945 222302312 277877890 444604624 555755780 1111511560 2223023120