Search a number
-
+
3223020527 is a prime number
BaseRepresentation
bin1100000000011011…
…0110001111101111
322022121200101222122
43000012312033233
523100043124102
61251452303155
7142604136206
oct30006661757
98277611878
103223020527
111404347031
1275b471abb
133c496ba4c
1422809c23d
1513ce490a2
hexc01b63ef

3223020527 has 2 divisors, whose sum is σ = 3223020528. Its totient is φ = 3223020526.

The previous prime is 3223020503. The next prime is 3223020529. The reversal of 3223020527 is 7250203223.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3223020527 - 224 = 3206243311 is a prime.

It is a super-3 number, since 3×32230205273 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 3223020529, 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 = 3223020496 and 3223020505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3223020529) 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 as a sum of consecutive naturals, namely, 1611510263 + 1611510264.

It is an arithmetic number, because the mean of its divisors is an integer number (1611510264).

Almost surely, 23223020527 is an apocalyptic number.

3223020527 is a deficient number, since it is larger than the sum of its proper divisors (1).

3223020527 is an equidigital number, since it uses as much as digits as its factorization.

3223020527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 3223020527 is about 56771.6524948852. The cubic root of 3223020527 is about 1477.1378406014.

The spelling of 3223020527 in words is "three billion, two hundred twenty-three million, twenty thousand, five hundred twenty-seven".