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223222212229 is a prime number
BaseRepresentation
bin1100111111100100010…
…1001010011010000101
3210100011201222021221211
43033321011022122011
512124124341242404
6250314042411421
722061440332442
oct3177105123205
9710151867854
10223222212229
1186739134a35
1237318800b71
1318085441963
14ab382d49c9
155c17029b04
hex33f914a685

223222212229 has 2 divisors, whose sum is σ = 223222212230. Its totient is φ = 223222212228.

The previous prime is 223222212131. The next prime is 223222212251. The reversal of 223222212229 is 922212222322.

223222212229 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., 201502232100 + 21719980129 = 448890^2 + 147377^2 .

It is a cyclic number.

It is not a de Polignac number, because 223222212229 - 223 = 223213823621 is a prime.

It is a super-3 number, since 3×2232222122293 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223222212229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223222212259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611106114 + 111611106115.

It is an arithmetic number, because the mean of its divisors is an integer number (111611106115).

Almost surely, 2223222212229 is an apocalyptic number.

It is an amenable number.

223222212229 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222212229 is an equidigital number, since it uses as much as digits as its factorization.

223222212229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 31.

The spelling of 223222212229 in words is "two hundred twenty-three billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-nine".