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22224041320 = 2351342738541
BaseRepresentation
bin10100101100101001…
…111111010101101000
32010100211110021101111
4110230221333111220
5331003323310240
614113134200104
71414506143245
oct245451772550
963324407344
1022224041320
11947498a1a8
124382953034
1321323a6010
14110b8205cc
158a11361ea
hex52ca7f568

22224041320 has 32 divisors (see below), whose sum is σ = 53850562920. Its totient is φ = 8205799680.

The previous prime is 22224041317. The next prime is 22224041327. The reversal of 22224041320 is 2314042222.

It can be written as a sum of positive squares in 4 ways, for example, as 6915918244 + 15308123076 = 83162^2 + 123726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22224041291 and 22224041300.

It is not an unprimeable number, because it can be changed into a prime (22224041327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21368751 + ... + 21369790.

Almost surely, 222224041320 is an apocalyptic number.

22224041320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22224041320 is an abundant number, since it is smaller than the sum of its proper divisors (31626521600).

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

22224041320 is a wasteful number, since it uses less digits than its factorization.

22224041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42738565 (or 42738561 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22224041320 its reverse (2314042222), we get a palindrome (24538083542).

The spelling of 22224041320 in words is "twenty-two billion, two hundred twenty-four million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 42738541 85477082 170954164 213692705 341908328 427385410 555601033 854770820 1111202066 1709541640 2222404132 2778005165 4444808264 5556010330 11112020660 22224041320