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22306714417 = 13310153261
BaseRepresentation
bin10100110001100101…
…010111001100110001
32010120121000111120001
4110301211113030301
5331141004330132
614125250150001
71416531641551
oct246145271461
963517014501
1022306714417
119507616779
1243a6582301
132146561000
1411187c1161
158a8516ce7
hex531957331

22306714417 has 8 divisors (see below), whose sum is σ = 24164763560. Its totient is φ = 20590811280.

The previous prime is 22306714411. The next prime is 22306714433. The reversal of 22306714417 is 71441760322.

It can be written as a sum of positive squares in 4 ways, for example, as 7035686641 + 15271027776 = 83879^2 + 123576^2 .

It is not a de Polignac number, because 22306714417 - 219 = 22306190129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22306714411) 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 in 7 ways as a sum of consecutive naturals, for example, 5074434 + ... + 5078827.

It is an arithmetic number, because the mean of its divisors is an integer number (3020595445).

Almost surely, 222306714417 is an apocalyptic number.

It is an amenable number.

22306714417 is a deficient number, since it is larger than the sum of its proper divisors (1858049143).

22306714417 is an equidigital number, since it uses as much as digits as its factorization.

22306714417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153300 (or 10153274 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 22306714417 in words is "twenty-two billion, three hundred six million, seven hundred fourteen thousand, four hundred seventeen".

Divisors: 1 13 169 2197 10153261 131992393 1715901109 22306714417