Search a number
-
+
226177215648089 is a prime number
BaseRepresentation
bin110011011011010011111100…
…100110000101000101011001
31002122211022221001010210121012
4303123103330212011011121
5214121141414201214324
62121012213425023305
765432523152114636
oct6333237446050531
91078738831123535
10226177215648089
1166081244895132
122144a7aba84b35
13992855c738324
143dbd06db5b18d
151b235c5e1d20e
hexcdb4fc985159

226177215648089 has 2 divisors, whose sum is σ = 226177215648090. Its totient is φ = 226177215648088.

The previous prime is 226177215648067. The next prime is 226177215648107. The reversal of 226177215648089 is 980846512771622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123455098771225 + 102722116876864 = 11111035^2 + 10135192^2 .

It is a cyclic number.

It is not a de Polignac number, because 226177215648089 - 28 = 226177215647833 is a prime.

It is a super-2 number, since 2×2261772156480892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (226177215648689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113088607824044 + 113088607824045.

It is an arithmetic number, because the mean of its divisors is an integer number (113088607824045).

Almost surely, 2226177215648089 is an apocalyptic number.

It is an amenable number.

226177215648089 is a deficient number, since it is larger than the sum of its proper divisors (1).

226177215648089 is an equidigital number, since it uses as much as digits as its factorization.

226177215648089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162570240, while the sum is 68.

The spelling of 226177215648089 in words is "two hundred twenty-six trillion, one hundred seventy-seven billion, two hundred fifteen million, six hundred forty-eight thousand, eighty-nine".