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221143829 is a prime number
BaseRepresentation
bin11010010111001…
…10001100010101
3120102010021022012
431023212030111
5423103100304
633535514005
75323456124
oct1513461425
9512107265
10221143829
111039146a5
1262088905
1336a7b24a
1421527abb
151463416e
hexd2e6315

221143829 has 2 divisors, whose sum is σ = 221143830. Its totient is φ = 221143828.

The previous prime is 221143787. The next prime is 221143861. The reversal of 221143829 is 928341122.

221143829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (221143861) can be obtained adding 221143829 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212722225 + 8421604 = 14585^2 + 2902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221143829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221143795 and 221143804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221143889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110571914 + 110571915.

It is an arithmetic number, because the mean of its divisors is an integer number (110571915).

Almost surely, 2221143829 is an apocalyptic number.

It is an amenable number.

221143829 is a deficient number, since it is larger than the sum of its proper divisors (1).

221143829 is an equidigital number, since it uses as much as digits as its factorization.

221143829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 32.

The square root of 221143829 is about 14870.9054532668. The cubic root of 221143829 is about 604.7254898343.

The spelling of 221143829 in words is "two hundred twenty-one million, one hundred forty-three thousand, eight hundred twenty-nine".