Search a number
-
+
2223746381 is a prime number
BaseRepresentation
bin1000010010001011…
…1010110101001101
312201222101000120002
42010202322311031
514023234341011
61004354334045
7106051350413
oct20442726515
95658330502
102223746381
11a4127962a
1252088a325
1329592707c
1417149d2b3
15d035cc3b
hex848bad4d

2223746381 has 2 divisors, whose sum is σ = 2223746382. Its totient is φ = 2223746380.

The previous prime is 2223746351. The next prime is 2223746383. The reversal of 2223746381 is 1836473222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2112781225 + 110965156 = 45965^2 + 10534^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223746381 is a prime.

It is a super-2 number, since 2×22237463812 = 9890095934021194322, which contains 22 as substring.

Together with 2223746383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223746383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111873190 + 1111873191.

It is an arithmetic number, because the mean of its divisors is an integer number (1111873191).

Almost surely, 22223746381 is an apocalyptic number.

It is an amenable number.

2223746381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223746381 is an equidigital number, since it uses as much as digits as its factorization.

2223746381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96768, while the sum is 38.

The square root of 2223746381 is about 47156.6154531896. The cubic root of 2223746381 is about 1305.2541562010.

The spelling of 2223746381 in words is "two billion, two hundred twenty-three million, seven hundred forty-six thousand, three hundred eighty-one".