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223231312229 is a prime number
BaseRepresentation
bin1100111111100110011…
…1111000000101100101
3210100012101002121210212
43033321213320011211
512124134203442404
6250315005425205
722061610563162
oct3177147700545
9710171077725
10223231312229
118674328a9a2
123731b86b205
13180872a9983
14ab395c3069
155c17c2606e
hex33f99f8165

223231312229 has 2 divisors, whose sum is σ = 223231312230. Its totient is φ = 223231312228.

The previous prime is 223231312223. The next prime is 223231312231. The reversal of 223231312229 is 922213132322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174181022500 + 49050289729 = 417350^2 + 221473^2 .

It is a cyclic number.

It is not a de Polignac number, because 223231312229 - 212 = 223231308133 is a prime.

It is a super-3 number, since 3×2232313122293 (a number of 35 digits) contains 333 as substring.

Together with 223231312231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 223231312195 and 223231312204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223231312223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615656114 + 111615656115.

It is an arithmetic number, because the mean of its divisors is an integer number (111615656115).

Almost surely, 2223231312229 is an apocalyptic number.

It is an amenable number.

223231312229 is a deficient number, since it is larger than the sum of its proper divisors (1).

223231312229 is an equidigital number, since it uses as much as digits as its factorization.

223231312229 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 32.

The spelling of 223231312229 in words is "two hundred twenty-three billion, two hundred thirty-one million, three hundred twelve thousand, two hundred twenty-nine".