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22564513 is a prime number
BaseRepresentation
bin101011000010…
…0111010100001
31120110101200201
41112010322201
521234031023
62123345201
7362536516
oct126047241
946411621
1022564513
1111812064
127682201
1348a07aa
142dd530d
151eaabad
hex1584ea1

22564513 has 2 divisors, whose sum is σ = 22564514. Its totient is φ = 22564512.

The previous prime is 22564499. The next prime is 22564537. The reversal of 22564513 is 31546522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12873744 + 9690769 = 3588^2 + 3113^2 .

It is a cyclic number.

It is not a de Polignac number, because 22564513 - 213 = 22556321 is a prime.

It is not a weakly prime, because it can be changed into another prime (22564543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11282256 + 11282257.

It is an arithmetic number, because the mean of its divisors is an integer number (11282257).

Almost surely, 222564513 is an apocalyptic number.

It is an amenable number.

22564513 is a deficient number, since it is larger than the sum of its proper divisors (1).

22564513 is an equidigital number, since it uses as much as digits as its factorization.

22564513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 28.

The square root of 22564513 is about 4750.2118900108. The cubic root of 22564513 is about 282.5803692288.

Subtracting 22564513 from its reverse (31546522), we obtain a square (8982009 = 29972).

It can be divided in two parts, 2256 and 4513, that multiplied together give a triangular number (10181328 = T4512).

The spelling of 22564513 in words is "twenty-two million, five hundred sixty-four thousand, five hundred thirteen".