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22314641329 is a prime number
BaseRepresentation
bin10100110010000011…
…100110011110110001
32010121010221020020101
4110302003212132301
5331200022010304
614130132112401
71416656215231
oct246203463661
963533836211
1022314641329
119511040342
1243a9165701
1321480a80a6
141119885cc1
158a90808a4
hex5320e67b1

22314641329 has 2 divisors, whose sum is σ = 22314641330. Its totient is φ = 22314641328.

The previous prime is 22314641287. The next prime is 22314641347. The reversal of 22314641329 is 92314641322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15788425104 + 6526216225 = 125652^2 + 80785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22314641329 is a prime.

It is a super-3 number, since 3×223146413293 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22314641359) 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, 11157320664 + 11157320665.

It is an arithmetic number, because the mean of its divisors is an integer number (11157320665).

Almost surely, 222314641329 is an apocalyptic number.

It is an amenable number.

22314641329 is a deficient number, since it is larger than the sum of its proper divisors (1).

22314641329 is an equidigital number, since it uses as much as digits as its factorization.

22314641329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 37.

The spelling of 22314641329 in words is "twenty-two billion, three hundred fourteen million, six hundred forty-one thousand, three hundred twenty-nine".