Search a number
-
+
22300253309 is a prime number
BaseRepresentation
bin10100110001001100…
…101101110001111101
32010120010212020120202
4110301030231301331
5331132331101214
614124455453245
71416423011525
oct246114556175
963503766522
1022300253309
119503a03414
1243a4387225
13214510b179
1411179bc685
158a7b8c6de
hex53132dc7d

22300253309 has 2 divisors, whose sum is σ = 22300253310. Its totient is φ = 22300253308.

The previous prime is 22300253257. The next prime is 22300253321. The reversal of 22300253309 is 90335200322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22120612900 + 179640409 = 148730^2 + 13403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22300253309 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22300253389) 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 as a sum of consecutive naturals, namely, 11150126654 + 11150126655.

It is an arithmetic number, because the mean of its divisors is an integer number (11150126655).

Almost surely, 222300253309 is an apocalyptic number.

It is an amenable number.

22300253309 is a deficient number, since it is larger than the sum of its proper divisors (1).

22300253309 is an equidigital number, since it uses as much as digits as its factorization.

22300253309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 29.

The spelling of 22300253309 in words is "twenty-two billion, three hundred million, two hundred fifty-three thousand, three hundred nine".