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221440013 is a prime number
BaseRepresentation
bin11010011001011…
…10100000001101
3120102200022120222
431030232200031
5423142040023
633550121125
75326131464
oct1514564015
9512608528
10221440013
11103aa7183
12621b01a5
1336b52cc2
14215a39db
1514691cc8
hexd32e80d

221440013 has 2 divisors, whose sum is σ = 221440014. Its totient is φ = 221440012.

The previous prime is 221440007. The next prime is 221440019. The reversal of 221440013 is 310044122.

It is a balanced prime because it is at equal distance from previous prime (221440007) and next prime (221440019).

It can be written as a sum of positive squares in only one way, i.e., 209757289 + 11682724 = 14483^2 + 3418^2 .

It is a cyclic number.

It is not a de Polignac number, because 221440013 - 24 = 221439997 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 221439973 and 221440000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221440019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110720006 + 110720007.

It is an arithmetic number, because the mean of its divisors is an integer number (110720007).

Almost surely, 2221440013 is an apocalyptic number.

It is an amenable number.

221440013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221440013 is an equidigital number, since it uses as much as digits as its factorization.

221440013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 221440013 is about 14880.8606269933. The cubic root of 221440013 is about 604.9953445445.

Adding to 221440013 its reverse (310044122), we get a palindrome (531484135).

The spelling of 221440013 in words is "two hundred twenty-one million, four hundred forty thousand, thirteen".