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264356021 is a prime number
BaseRepresentation
bin11111100000111…
…00000010110101
3200102102200021202
433300130002311
51020133343041
642122022245
76356663156
oct1760340265
9612380252
10264356021
11126249656
1274647985
13429caba7
142717592d
151831ca9b
hexfc1c0b5

264356021 has 2 divisors, whose sum is σ = 264356022. Its totient is φ = 264356020.

The previous prime is 264356017. The next prime is 264356023. The reversal of 264356021 is 120653462.

264356021 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., 231465796 + 32890225 = 15214^2 + 5735^2 .

It is a cyclic number.

It is not a de Polignac number, because 264356021 - 22 = 264356017 is a prime.

Together with 264356023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264356023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132178010 + 132178011.

It is an arithmetic number, because the mean of its divisors is an integer number (132178011).

Almost surely, 2264356021 is an apocalyptic number.

It is an amenable number.

264356021 is a deficient number, since it is larger than the sum of its proper divisors (1).

264356021 is an equidigital number, since it uses as much as digits as its factorization.

264356021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 264356021 is about 16259.0289070412. The cubic root of 264356021 is about 641.7951075732.

The spelling of 264356021 in words is "two hundred sixty-four million, three hundred fifty-six thousand, twenty-one".