Search a number
-
+
223222232009501 is a prime number
BaseRepresentation
bin110010110000010011111001…
…110110000100101100011101
31002021100211121011002121211222
4302300103321312010230131
5213224233112343301001
62110430513330223125
765006163000451664
oct6260237166045435
91067324534077758
10223222232009501
116514202063a02a
1221051b69a24aa5
1397729c632778a
143d1a029751ddb
151ac17c879a61b
hexcb04f9d84b1d

223222232009501 has 2 divisors, whose sum is σ = 223222232009502. Its totient is φ = 223222232009500.

The previous prime is 223222232009407. The next prime is 223222232009527. The reversal of 223222232009501 is 105900232222322.

223222232009501 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., 201806856103876 + 21415375905625 = 14205874^2 + 4627675^2 .

It is a cyclic number.

It is not a de Polignac number, because 223222232009501 - 242 = 218824185498397 is a prime.

It is a super-3 number, since 3×2232222320095013 (a number of 44 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223222232009591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611116004750 + 111611116004751.

It is an arithmetic number, because the mean of its divisors is an integer number (111611116004751).

Almost surely, 2223222232009501 is an apocalyptic number.

It is an amenable number.

223222232009501 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222232009501 is an equidigital number, since it uses as much as digits as its factorization.

223222232009501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 223222232009501 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, two hundred thirty-two million, nine thousand, five hundred one".