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3222112223 = 11412271643
BaseRepresentation
bin1100000000001101…
…1000011111011111
322022112222021000202
43000003120133133
523044330042343
61251421014115
7142563334121
oct30003303737
98275867022
103222112223
111403886670
1275b0b433b
133c47114a5
14227d03211
1513cd19db8
hexc00d87df

3222112223 has 24 divisors (see below), whose sum is σ = 3621773568. Its totient is φ = 2842776000.

The previous prime is 3222112217. The next prime is 3222112241.

It is a happy number.

3222112223 is nontrivially palindromic in base 10.

3222112223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3222112223 - 28 = 3222111967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3222112195 and 3222112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222112253) 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, 5010740 + ... + 5011382.

It is an arithmetic number, because the mean of its divisors is an integer number (150907232).

Almost surely, 23222112223 is an apocalyptic number.

3222112223 is a deficient number, since it is larger than the sum of its proper divisors (399661345).

3222112223 is a wasteful number, since it uses less digits than its factorization.

3222112223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 966 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 3222112223 is about 56763.6523049742. The cubic root of 3222112223 is about 1476.9990664034. Note that the first 3 decimals are identical.

It can be divided in two parts, 32221 and 12223, that added together give a palindrome (44444).

The spelling of 3222112223 in words is "three billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-three".

Divisors: 1 11 41 271 451 643 1681 2981 7073 11111 18491 26363 122221 174253 289993 455551 1080883 1916783 5011061 7144373 11889713 78588103 292919293 3222112223