Search a number
-
+
223105507576597 is a prime number
BaseRepresentation
bin110010101110100111001100…
…100001101100101100010101
31002020221200022102111001200101
4302232213030201230230111
5213220330034414422342
62110301131044414101
764664561314240612
oct6256471441545425
91066850272431611
10223105507576597
11650a7572750a58
12210334130a7331
1397649b39496b9
143d14515465509
151abd74616d3b7
hexcae9cc86cb15

223105507576597 has 2 divisors, whose sum is σ = 223105507576598. Its totient is φ = 223105507576596.

The previous prime is 223105507576583. The next prime is 223105507576621. The reversal of 223105507576597 is 795675705501322.

223105507576597 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156048914738116 + 67056592838481 = 12491954^2 + 8188809^2 .

It is a cyclic number.

It is not a de Polignac number, because 223105507576597 - 215 = 223105507543829 is a prime.

It is a super-3 number, since 3×2231055075765973 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223105507576507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111552753788298 + 111552753788299.

It is an arithmetic number, because the mean of its divisors is an integer number (111552753788299).

Almost surely, 2223105507576597 is an apocalyptic number.

It is an amenable number.

223105507576597 is a deficient number, since it is larger than the sum of its proper divisors (1).

223105507576597 is an equidigital number, since it uses as much as digits as its factorization.

223105507576597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138915000, while the sum is 64.

The spelling of 223105507576597 in words is "two hundred twenty-three trillion, one hundred five billion, five hundred seven million, five hundred seventy-six thousand, five hundred ninety-seven".