Search a number
-
+
2221263323557 is a prime number
BaseRepresentation
bin100000010100101101100…
…111001000000110100101
321212100110122211021211121
4200110231213020012211
5242343121402323212
64420233445533541
7316323655503025
oct40245547100645
97770418737747
102221263323557
1178703a268763
122ba5b47142b1
13131605bc42b5
147971c94ba85
153cba8065d07
hex2052d9c81a5

2221263323557 has 2 divisors, whose sum is σ = 2221263323558. Its totient is φ = 2221263323556.

The previous prime is 2221263323501. The next prime is 2221263323567. The reversal of 2221263323557 is 7553233621222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2219238863521 + 2024460036 = 1489711^2 + 44994^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221263323557 - 235 = 2186903585189 is a prime.

It is a super-2 number, since 2×22212633235572 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221263323567) 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, 1110631661778 + 1110631661779.

It is an arithmetic number, because the mean of its divisors is an integer number (1110631661779).

Almost surely, 22221263323557 is an apocalyptic number.

It is an amenable number.

2221263323557 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221263323557 is an equidigital number, since it uses as much as digits as its factorization.

2221263323557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907200, while the sum is 43.

Adding to 2221263323557 its reverse (7553233621222), we get a palindrome (9774496944779).

The spelling of 2221263323557 in words is "two trillion, two hundred twenty-one billion, two hundred sixty-three million, three hundred twenty-three thousand, five hundred fifty-seven".