Search a number
-
+
221213437 is a prime number
BaseRepresentation
bin11010010111101…
…11001011111101
3120102020210210021
431023313023331
5423112312222
633541212141
75324166064
oct1513671375
9512223707
10221213437
11103961a25
1262101051
1336aa3b33
14215451db
1514649ac7
hexd2f72fd

221213437 has 2 divisors, whose sum is σ = 221213438. Its totient is φ = 221213436.

The previous prime is 221213413. The next prime is 221213441. The reversal of 221213437 is 734312122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202037796 + 19175641 = 14214^2 + 4379^2 .

It is a cyclic number.

It is not a de Polignac number, because 221213437 - 27 = 221213309 is a prime.

It is a super-3 number, since 3×2212134373 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221213407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110606718 + 110606719.

It is an arithmetic number, because the mean of its divisors is an integer number (110606719).

Almost surely, 2221213437 is an apocalyptic number.

It is an amenable number.

221213437 is a deficient number, since it is larger than the sum of its proper divisors (1).

221213437 is an equidigital number, since it uses as much as digits as its factorization.

221213437 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 25.

The square root of 221213437 is about 14873.2456780623. The cubic root of 221213437 is about 604.7889316772.

Adding to 221213437 its reverse (734312122), we get a palindrome (955525559).

The spelling of 221213437 in words is "two hundred twenty-one million, two hundred thirteen thousand, four hundred thirty-seven".