Search a number
-
+
122233409 is a prime number
BaseRepresentation
bin1110100100100…
…10001001000001
322112000002201022
413102102021001
5222242432114
620043515225
73012652424
oct722221101
9275002638
10122233409
1162aa7851
1234b28b15
131c42967c
141233b9bb
15aae748e
hex7492241

122233409 has 2 divisors, whose sum is σ = 122233410. Its totient is φ = 122233408.

The previous prime is 122233381. The next prime is 122233429. The reversal of 122233409 is 904332221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98565184 + 23668225 = 9928^2 + 4865^2 .

It is a cyclic number.

It is not a de Polignac number, because 122233409 - 216 = 122167873 is a prime.

It is a super-2 number, since 2×1222334092 = 29882012551522562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122233429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116704 + 61116705.

It is an arithmetic number, because the mean of its divisors is an integer number (61116705).

Almost surely, 2122233409 is an apocalyptic number.

It is an amenable number.

122233409 is a deficient number, since it is larger than the sum of its proper divisors (1).

122233409 is an equidigital number, since it uses as much as digits as its factorization.

122233409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 122233409 is about 11055.9218973363. The cubic root of 122233409 is about 496.2836580411.

The spelling of 122233409 in words is "one hundred twenty-two million, two hundred thirty-three thousand, four hundred nine".