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2264231441 is a prime number
BaseRepresentation
bin1000011011110101…
…0110111000010001
312211210112212121202
42012331112320101
514114120401231
61012402200545
7110052435563
oct20675267021
95753485552
102264231441
11a6211065a
12532353155
132a1130624
141769db333
15d3ba85cb
hex86f56e11

2264231441 has 2 divisors, whose sum is σ = 2264231442. Its totient is φ = 2264231440.

The previous prime is 2264231429. The next prime is 2264231443. The reversal of 2264231441 is 1441324622.

2264231441 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., 2246380816 + 17850625 = 47396^2 + 4225^2 .

It is a cyclic number.

It is not a de Polignac number, because 2264231441 - 210 = 2264230417 is a prime.

Together with 2264231443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2264231443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1132115720 + 1132115721.

It is an arithmetic number, because the mean of its divisors is an integer number (1132115721).

Almost surely, 22264231441 is an apocalyptic number.

It is an amenable number.

2264231441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2264231441 is an equidigital number, since it uses as much as digits as its factorization.

2264231441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9216, while the sum is 29.

The square root of 2264231441 is about 47583.9409990387. The cubic root of 2264231441 is about 1313.1276279399.

The spelling of 2264231441 in words is "two billion, two hundred sixty-four million, two hundred thirty-one thousand, four hundred forty-one".