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2232221333 is a prime number
BaseRepresentation
bin1000010100001100…
…1111111010010101
312202120022121000012
42011003033322111
514032422040313
61005300130005
7106213365626
oct20503177225
95676277005
102232221333
11a46037a21
12523696905
13297603734
14172667a4d
15d0e83da8
hex850cfe95

2232221333 has 2 divisors, whose sum is σ = 2232221334. Its totient is φ = 2232221332.

The previous prime is 2232221297. The next prime is 2232221347. The reversal of 2232221333 is 3331222322.

2232221333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1198405924 + 1033815409 = 34618^2 + 32153^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232221333 - 212 = 2232217237 is a prime.

It is a super-3 number, since 3×22322213333 (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2232221299 and 2232221308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232221353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116110666 + 1116110667.

It is an arithmetic number, because the mean of its divisors is an integer number (1116110667).

Almost surely, 22232221333 is an apocalyptic number.

It is an amenable number.

2232221333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232221333 is an equidigital number, since it uses as much as digits as its factorization.

2232221333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 23.

The square root of 2232221333 is about 47246.3896292616. The cubic root of 2232221333 is about 1306.9102118387.

Adding to 2232221333 its reverse (3331222322), we get a palindrome (5563443655).

The spelling of 2232221333 in words is "two billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred thirty-three".