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223221032029 is a prime number
BaseRepresentation
bin1100111111100100000…
…0101010010001011101
3210100011122202100000201
43033321000222101131
512124124041011104
6250314001223501
722061424315562
oct3177100522135
9710148670021
10223221032029
11867384a9266
1237318331b91
131808511a708
14ab380a8869
155c16d950a4
hex33f902a45d

223221032029 has 2 divisors, whose sum is σ = 223221032030. Its totient is φ = 223221032028.

The previous prime is 223221031993. The next prime is 223221032051. The reversal of 223221032029 is 920230122322.

223221032029 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., 187727225625 + 35493806404 = 433275^2 + 188398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223221032029 is a prime.

It is a super-3 number, since 3×2232210320293 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223221031988 and 223221032006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223221332029) 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, 111610516014 + 111610516015.

It is an arithmetic number, because the mean of its divisors is an integer number (111610516015).

Almost surely, 2223221032029 is an apocalyptic number.

It is an amenable number.

223221032029 is a deficient number, since it is larger than the sum of its proper divisors (1).

223221032029 is an equidigital number, since it uses as much as digits as its factorization.

223221032029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 223221032029 in words is "two hundred twenty-three billion, two hundred twenty-one million, thirty-two thousand, twenty-nine".