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122262221 is a prime number
BaseRepresentation
bin1110100100110…
…01001011001101
322112001120020102
413102121023031
5222244342341
620044300445
73013132424
oct722311315
9275046212
10122262221
1163017464
1234b41725
131c439813
14123482bb
15ab00c9b
hex74992cd

122262221 has 2 divisors, whose sum is σ = 122262222. Its totient is φ = 122262220.

The previous prime is 122262211. The next prime is 122262223.

122262221 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., 121242121 + 1020100 = 11011^2 + 1010^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122262221 - 218 = 122000077 is a prime.

It is a Sophie Germain prime.

Together with 122262223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122262193 and 122262202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122262223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61131110 + 61131111.

It is an arithmetic number, because the mean of its divisors is an integer number (61131111).

Almost surely, 2122262221 is an apocalyptic number.

It is an amenable number.

122262221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122262221 is an equidigital number, since it uses as much as digits as its factorization.

122262221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 20.

The square root of 122262221 is about 11057.2248326603. The cubic root of 122262221 is about 496.3226484762.

The spelling of 122262221 in words is "one hundred twenty-two million, two hundred sixty-two thousand, two hundred twenty-one".