Search a number
-
+
22212131 is a prime number
BaseRepresentation
bin101010010111…
…0111000100011
31112210111022112
41110232320203
521141242011
62112025535
7356541254
oct124567043
945714275
1022212131
11115a1337
1275322ab
1347a9296
142d42b2b
151e3b58b
hex152ee23

22212131 has 2 divisors, whose sum is σ = 22212132. Its totient is φ = 22212130.

The previous prime is 22212109. The next prime is 22212133. The reversal of 22212131 is 13121222.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22212131 is a prime.

It is a super-2 number, since 2×222121312 = 986757527122322, which contains 22 as substring.

Together with 22212133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22212133) 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, 11106065 + 11106066.

It is an arithmetic number, because the mean of its divisors is an integer number (11106066).

Almost surely, 222212131 is an apocalyptic number.

22212131 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212131 is an equidigital number, since it uses as much as digits as its factorization.

22212131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 14.

The square root of 22212131 is about 4712.9747506219. The cubic root of 22212131 is about 281.1016589917.

Adding to 22212131 its reverse (13121222), we get a palindrome (35333353).

Subtracting from 22212131 its reverse (13121222), we obtain a palindrome (9090909).

The spelling of 22212131 in words is "twenty-two million, two hundred twelve thousand, one hundred thirty-one".