Search a number
-
+
224222013232169 is a prime number
BaseRepresentation
bin110010111110110111000001…
…011100110001010000101001
31002101220102012121212000020212
4302332313001130301100221
5213342123140341412134
62112514100523430505
765141335340566151
oct6276670134612051
91071812177760225
10224222013232169
1165498027017307
122119388a685435
139816078193274
143d52590ac9761
151adc7e0be8bce
hexcbedc1731429

224222013232169 has 2 divisors, whose sum is σ = 224222013232170. Its totient is φ = 224222013232168.

The previous prime is 224222013232121. The next prime is 224222013232213. The reversal of 224222013232169 is 961232310222422.

224222013232169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223553930958400 + 668082273769 = 14951720^2 + 817363^2 .

It is a cyclic number.

It is not a de Polignac number, because 224222013232169 - 28 = 224222013231913 is a prime.

It is a super-3 number, since 3×2242220132321693 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (224222013232109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112111006616084 + 112111006616085.

It is an arithmetic number, because the mean of its divisors is an integer number (112111006616085).

Almost surely, 2224222013232169 is an apocalyptic number.

It is an amenable number.

224222013232169 is a deficient number, since it is larger than the sum of its proper divisors (1).

224222013232169 is an equidigital number, since it uses as much as digits as its factorization.

224222013232169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 224222013232169 in words is "two hundred twenty-four trillion, two hundred twenty-two billion, thirteen million, two hundred thirty-two thousand, one hundred sixty-nine".