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223222232010413 is a prime number
BaseRepresentation
bin110010110000010011111001…
…110110000100111010101101
31002021100211121011002200002202
4302300103321312010322231
5213224233112343313123
62110430513330231245
765006163000454436
oct6260237166047255
91067324534080082
10223222232010413
116514202063a789
1221051b69a25525
1397729c632800c
143d1a02975248d
151ac17c879aa28
hexcb04f9d84ead

223222232010413 has 2 divisors, whose sum is σ = 223222232010414. Its totient is φ = 223222232010412.

The previous prime is 223222232010403. The next prime is 223222232010433. The reversal of 223222232010413 is 314010232222322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222587362487044 + 634869523369 = 14919362^2 + 796787^2 .

It is a cyclic number.

It is not a de Polignac number, because 223222232010413 - 212 = 223222232006317 is a prime.

It is a super-3 number, since 3×2232222320104133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223222232010403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611116005206 + 111611116005207.

It is an arithmetic number, because the mean of its divisors is an integer number (111611116005207).

Almost surely, 2223222232010413 is an apocalyptic number.

It is an amenable number.

223222232010413 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222232010413 is an equidigital number, since it uses as much as digits as its factorization.

223222232010413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 223222232010413 its reverse (314010232222322), we get a palindrome (537232464232735).

The spelling of 223222232010413 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, two hundred thirty-two million, ten thousand, four hundred thirteen".