Search a number
-
+
22329198553 is a prime number
BaseRepresentation
bin10100110010111011…
…001000011111011001
32010122011022210222211
4110302323020133121
5331212233323203
614131412115121
71420224025144
oct246273103731
963564283884
1022329198553
119519283402
1243b2005aa1
13214b10402c
14111b79505b
158aa4a8c6d
hex532ec87d9

22329198553 has 2 divisors, whose sum is σ = 22329198554. Its totient is φ = 22329198552.

The previous prime is 22329198511. The next prime is 22329198569. The reversal of 22329198553 is 35589192322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22169125449 + 160073104 = 148893^2 + 12652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22329198553 is a prime.

It is a super-3 number, since 3×223291985533 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22329198497 and 22329198506.

It is not a weakly prime, because it can be changed into another prime (22329198503) 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, 11164599276 + 11164599277.

It is an arithmetic number, because the mean of its divisors is an integer number (11164599277).

Almost surely, 222329198553 is an apocalyptic number.

It is an amenable number.

22329198553 is a deficient number, since it is larger than the sum of its proper divisors (1).

22329198553 is an equidigital number, since it uses as much as digits as its factorization.

22329198553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1166400, while the sum is 49.

The spelling of 22329198553 in words is "twenty-two billion, three hundred twenty-nine million, one hundred ninety-eight thousand, five hundred fifty-three".