Search a number
-
+
53222129 is a prime number
BaseRepresentation
bin1100101100000…
…1101011110001
310201010222000222
43023001223301
5102111102004
65140422425
71214244362
oct313015361
9121128028
1053222129
1128051634
12159a7a15
13b045bac
1470d5b69
154a147be
hex32c1af1

53222129 has 2 divisors, whose sum is σ = 53222130. Its totient is φ = 53222128.

The previous prime is 53222101. The next prime is 53222131. The reversal of 53222129 is 92122235.

53222129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52998400 + 223729 = 7280^2 + 473^2 .

It is a cyclic number.

It is not a de Polignac number, because 53222129 - 220 = 52173553 is a prime.

Together with 53222131, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p3182552 and since 53222129 and 3182552 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 53222098 and 53222107.

It is not a weakly prime, because it can be changed into another prime (53222159) 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, 26611064 + 26611065.

It is an arithmetic number, because the mean of its divisors is an integer number (26611065).

Almost surely, 253222129 is an apocalyptic number.

It is an amenable number.

53222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

53222129 is an equidigital number, since it uses as much as digits as its factorization.

53222129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The square root of 53222129 is about 7295.3498202622. The cubic root of 53222129 is about 376.1526112992.

The spelling of 53222129 in words is "fifty-three million, two hundred twenty-two thousand, one hundred twenty-nine".