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2264145641 is a prime number
BaseRepresentation
bin1000011011110100…
…0001111011101001
312211210101111220222
42012331001323221
514114110130031
61012400255425
7110051630462
oct20675017351
95753344828
102264145641
11a6206214a
12532311575
132a1100564
141769b7d69
15d3b8ce7b
hex86f41ee9

2264145641 has 2 divisors, whose sum is σ = 2264145642. Its totient is φ = 2264145640.

The previous prime is 2264145619. The next prime is 2264145727. The reversal of 2264145641 is 1465414622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2263761241 + 384400 = 47579^2 + 620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2264145641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2264145041) 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, 1132072820 + 1132072821.

It is an arithmetic number, because the mean of its divisors is an integer number (1132072821).

Almost surely, 22264145641 is an apocalyptic number.

It is an amenable number.

2264145641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2264145641 is an equidigital number, since it uses as much as digits as its factorization.

2264145641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46080, while the sum is 35.

The square root of 2264145641 is about 47583.0394258290. The cubic root of 2264145641 is about 1313.1110413296. Note that the first 3 decimals are identical.

The spelling of 2264145641 in words is "two billion, two hundred sixty-four million, one hundred forty-five thousand, six hundred forty-one".