Search a number
-
+
22133357 is a prime number
BaseRepresentation
bin101010001101…
…1101001101101
31112122111020222
41110123221231
521131231412
62110221125
7356062511
oct124335155
945574228
1022133357
1111548134
1274b47a5
13477c47c
142d22141
151e23072
hex151ba6d

22133357 has 2 divisors, whose sum is σ = 22133358. Its totient is φ = 22133356.

The previous prime is 22133341. The next prime is 22133359. The reversal of 22133357 is 75333122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17926756 + 4206601 = 4234^2 + 2051^2 .

It is a cyclic number.

It is not a de Polignac number, because 22133357 - 24 = 22133341 is a prime.

Together with 22133359, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p1397105 and since 22133357 and 1397105 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22133359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066678 + 11066679.

It is an arithmetic number, because the mean of its divisors is an integer number (11066679).

Almost surely, 222133357 is an apocalyptic number.

It is an amenable number.

22133357 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133357 is an equidigital number, since it uses as much as digits as its factorization.

22133357 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3780, while the sum is 26.

The square root of 22133357 is about 4704.6101857646. The cubic root of 22133357 is about 280.7689619525.

Adding to 22133357 its reverse (75333122), we get a palindrome (97466479).

The spelling of 22133357 in words is "twenty-two million, one hundred thirty-three thousand, three hundred fifty-seven".