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1023222213 = 36131011069
BaseRepresentation
bin111100111111010…
…010000111000101
32122022101002000000
4330333102013011
54043421102323
6245311111513
734233150066
oct7477220705
92568332000
101023222213
11485644aa2
12246812599
13133cab140
1499c7456d
155ec6be43
hex3cfd21c5

1023222213 has 56 divisors (see below), whose sum is σ = 1670060280. Its totient is φ = 622857600.

The previous prime is 1023222203. The next prime is 1023222227. The reversal of 1023222213 is 3122223201.

It can be written as a sum of positive squares in 4 ways, for example, as 213364449 + 809857764 = 14607^2 + 28458^2 .

It is not a de Polignac number, because 1023222213 - 28 = 1023221957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 956643 + ... + 957711.

It is an arithmetic number, because the mean of its divisors is an integer number (29822505).

Almost surely, 21023222213 is an apocalyptic number.

1023222213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023222213 is a deficient number, since it is larger than the sum of its proper divisors (646838067).

1023222213 is a wasteful number, since it uses less digits than its factorization.

1023222213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023222213 is about 31987.8447695371. The cubic root of 1023222213 is about 1007.6815799086.

Adding to 1023222213 its reverse (3122223201), we get a palindrome (4145445414).

The spelling of 1023222213 in words is "one billion, twenty-three million, two hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 81 101 117 243 303 351 729 909 1053 1069 1313 2727 3159 3207 3939 8181 9477 9621 11817 13897 24543 28863 35451 41691 73629 86589 106353 107969 125073 259767 319059 323907 375219 779301 957177 971721 1125657 1403597 2915163 3376971 4210791 8745489 10130913 12632373 26236467 37897119 78709401 113691357 341074071 1023222213