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122232221 is a prime number
BaseRepresentation
bin1110100100100…
…01110110011101
322112000001002022
413102101312131
5222242412341
620043505525
73012646106
oct722216635
9275001068
10122232221
1162aa6971
1234b282a5
131c428c77
141233b3ad
15aae6e4b
hex7491d9d

122232221 has 2 divisors, whose sum is σ = 122232222. Its totient is φ = 122232220.

The previous prime is 122232181. The next prime is 122232239.

122232221 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113316025 + 8916196 = 10645^2 + 2986^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122232221 - 226 = 55123357 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122232221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122232241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116110 + 61116111.

It is an arithmetic number, because the mean of its divisors is an integer number (61116111).

Almost surely, 2122232221 is an apocalyptic number.

It is an amenable number.

122232221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232221 is an equidigital number, since it uses as much as digits as its factorization.

122232221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 17.

The square root of 122232221 is about 11055.8681703428. The cubic root of 122232221 is about 496.2820502240.

Multiplying 122232221 by its product of digits (192), we get a palindrome (23468586432).

The spelling of 122232221 in words is "one hundred twenty-two million, two hundred thirty-two thousand, two hundred twenty-one".