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2224218131 is a prime number
BaseRepresentation
bin1000010010010010…
…1110000000010011
312202000020222200022
42010210232000103
514023344440011
61004412414055
7106055353652
oct20444560023
95660228608
102224218131
11a41571003
12520a7732b
13295a60a05
14171583199
15d04028db
hex8492e013

2224218131 has 2 divisors, whose sum is σ = 2224218132. Its totient is φ = 2224218130.

The previous prime is 2224218119. The next prime is 2224218179. The reversal of 2224218131 is 1318124222.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2224218131 - 26 = 2224218067 is a prime.

It is a super-2 number, since 2×22242181312 = 9894292588538266322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2224218131.

It is not a weakly prime, because it can be changed into another prime (2224218331) 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, 1112109065 + 1112109066.

It is an arithmetic number, because the mean of its divisors is an integer number (1112109066).

Almost surely, 22224218131 is an apocalyptic number.

2224218131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224218131 is an equidigital number, since it uses as much as digits as its factorization.

2224218131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 26.

The square root of 2224218131 is about 47161.6171372441. The cubic root of 2224218131 is about 1305.3464494164.

The spelling of 2224218131 in words is "two billion, two hundred twenty-four million, two hundred eighteen thousand, one hundred thirty-one".