Search a number
-
+
22303340312233 is a prime number
BaseRepresentation
bin1010001001000111001101…
…01011010011011010101001
32220222011211010121211022211
411010203212223103122221
510410404220104442413
6115234002454445121
74461235364443051
oct504434653233251
986864733554284
1022303340312233
117119880183142
1226026536637a1
13c5a271701a06
145716b7720561
1528a2638d983d
hex1448e6ad36a9

22303340312233 has 2 divisors, whose sum is σ = 22303340312234. Its totient is φ = 22303340312232.

The previous prime is 22303340312171. The next prime is 22303340312237. The reversal of 22303340312233 is 33221304330322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22018214215449 + 285126096784 = 4692357^2 + 533972^2 .

It is a cyclic number.

It is not a de Polignac number, because 22303340312233 - 237 = 22165901358761 is a prime.

It is a super-2 number, since 2×223033403122332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22303340312195 and 22303340312204.

It is not a weakly prime, because it can be changed into another prime (22303340312237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11151670156116 + 11151670156117.

It is an arithmetic number, because the mean of its divisors is an integer number (11151670156117).

Almost surely, 222303340312233 is an apocalyptic number.

It is an amenable number.

22303340312233 is a deficient number, since it is larger than the sum of its proper divisors (1).

22303340312233 is an equidigital number, since it uses as much as digits as its factorization.

22303340312233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 22303340312233 its reverse (33221304330322), we get a palindrome (55524644642555).

The spelling of 22303340312233 in words is "twenty-two trillion, three hundred three billion, three hundred forty million, three hundred twelve thousand, two hundred thirty-three".