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223220002221 = 32372360928393
BaseRepresentation
bin1100111111100011110…
…0101110110110101101
3210100011120211000101200
43033320330232312231
512124123310032341
6250313523200113
722061412466326
oct3177074566655
9710146730350
10223220002221
1186737965587
1237317b16039
1318084b49a68
14ab37cbb44d
155c16c3edb6
hex33f8f2edad

223220002221 has 24 divisors (see below), whose sum is σ = 331168875960. Its totient is φ = 144780120576.

The previous prime is 223220002217. The next prime is 223220002237. The reversal of 223220002221 is 122200022322.

223220002221 is a `hidden beast` number, since 223 + 220 + 0 + 0 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101984422500 + 121235579721 = 319350^2 + 348189^2 .

It is not a de Polignac number, because 223220002221 - 22 = 223220002217 is a prime.

It is a super-3 number, since 3×2232200022213 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223220002194 and 223220002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223220002721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7847601 + ... + 7875993.

It is an arithmetic number, because the mean of its divisors is an integer number (13798703165).

Almost surely, 2223220002221 is an apocalyptic number.

It is an amenable number.

223220002221 is a deficient number, since it is larger than the sum of its proper divisors (107948873739).

223220002221 is a wasteful number, since it uses less digits than its factorization.

223220002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52045 (or 52042 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 223220002221 its reverse (122200022322), we get a palindrome (345420024543).

The spelling of 223220002221 in words is "two hundred twenty-three billion, two hundred twenty million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 23609 28393 70827 85179 212481 255537 873533 1050541 2620599 3151623 7861797 9454869 670330337 2010991011 6032973033 24802222469 74406667407 223220002221