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2264177893 is a prime number
BaseRepresentation
bin1000011011110100…
…1001110011100101
312211210110011011111
42012331021303211
514114112143033
61012401105021
7110052123505
oct20675116345
95753404144
102264177893
11a620843aa
12532328171
132a1112143
141769c5a05
15d3b977cd
hex86f49ce5

2264177893 has 2 divisors, whose sum is σ = 2264177894. Its totient is φ = 2264177892.

The previous prime is 2264177849. The next prime is 2264177897. The reversal of 2264177893 is 3987714622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1459774849 + 804403044 = 38207^2 + 28362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2264177893 is a prime.

It is a super-5 number, since 5×22641778935 (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2264177897) 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, 1132088946 + 1132088947.

It is an arithmetic number, because the mean of its divisors is an integer number (1132088947).

Almost surely, 22264177893 is an apocalyptic number.

It is an amenable number.

2264177893 is a deficient number, since it is larger than the sum of its proper divisors (1).

2264177893 is an equidigital number, since it uses as much as digits as its factorization.

2264177893 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 49.

The square root of 2264177893 is about 47583.3783268906. The cubic root of 2264177893 is about 1313.1172762431.

The spelling of 2264177893 in words is "two billion, two hundred sixty-four million, one hundred seventy-seven thousand, eight hundred ninety-three".