Search a number
-
+
22322122253 is a prime number
BaseRepresentation
bin10100110010100000…
…001000111000001101
32010121200000022010122
4110302200020320031
5331203430403003
614131000314325
71420106623424
oct246240107015
963550008118
1022322122253
11951528a922
1243ab7729a5
1321497c7182
14111a8722bb
158a9a5c238
hex532808e0d

22322122253 has 2 divisors, whose sum is σ = 22322122254. Its totient is φ = 22322122252.

The previous prime is 22322122189. The next prime is 22322122261. The reversal of 22322122253 is 35222122322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13990631524 + 8331490729 = 118282^2 + 91277^2 .

It is a cyclic number.

It is not a de Polignac number, because 22322122253 - 26 = 22322122189 is a prime.

It is a super-3 number, since 3×223221222533 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22322122853) 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, 11161061126 + 11161061127.

It is an arithmetic number, because the mean of its divisors is an integer number (11161061127).

Almost surely, 222322122253 is an apocalyptic number.

It is an amenable number.

22322122253 is a deficient number, since it is larger than the sum of its proper divisors (1).

22322122253 is an equidigital number, since it uses as much as digits as its factorization.

22322122253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 26.

Adding to 22322122253 its reverse (35222122322), we get a palindrome (57544244575).

The spelling of 22322122253 in words is "twenty-two billion, three hundred twenty-two million, one hundred twenty-two thousand, two hundred fifty-three".