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22223120033 is a prime number
BaseRepresentation
bin10100101100100110…
…011110011010100001
32010100202201110121202
4110230212132122201
5331003104320113
614113102330545
71414465255262
oct245446363241
963322643552
1022223120033
119474410004
124382589a55
13213214288a
14110b660969
158a1003258
hex52c99e6a1

22223120033 has 2 divisors, whose sum is σ = 22223120034. Its totient is φ = 22223120032.

The previous prime is 22223119999. The next prime is 22223120039. The reversal of 22223120033 is 33002132222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18491376289 + 3731743744 = 135983^2 + 61088^2 .

It is a cyclic number.

It is not a de Polignac number, because 22223120033 - 214 = 22223103649 is a prime.

It is a super-2 number, since 2×222231200332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22223119987 and 22223120014.

It is not a weakly prime, because it can be changed into another prime (22223120039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111560016 + 11111560017.

It is an arithmetic number, because the mean of its divisors is an integer number (11111560017).

Almost surely, 222223120033 is an apocalyptic number.

It is an amenable number.

22223120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22223120033 is an equidigital number, since it uses as much as digits as its factorization.

22223120033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22223120033 its reverse (33002132222), we get a palindrome (55225252255).

The spelling of 22223120033 in words is "twenty-two billion, two hundred twenty-three million, one hundred twenty thousand, thirty-three".