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122664833 is a prime number
BaseRepresentation
bin1110100111110…
…11011110000001
322112211000111222
413103323132001
5222400233313
620101044425
73016430264
oct723733601
9275730458
10122664833
11632719a5
12350b6715
131c54ab55
1412410cdb
15ab80208
hex74fb781

122664833 has 2 divisors, whose sum is σ = 122664834. Its totient is φ = 122664832.

The previous prime is 122664827. The next prime is 122664851. The reversal of 122664833 is 338466221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92006464 + 30658369 = 9592^2 + 5537^2 .

It is a cyclic number.

It is not a de Polignac number, because 122664833 - 26 = 122664769 is a prime.

It is a super-2 number, since 2×1226648332 = 30093322509835778, which contains 22 as substring.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 122664793 and 122664802.

It is not a weakly prime, because it can be changed into another prime (122664233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61332416 + 61332417.

It is an arithmetic number, because the mean of its divisors is an integer number (61332417).

Almost surely, 2122664833 is an apocalyptic number.

It is an amenable number.

122664833 is a deficient number, since it is larger than the sum of its proper divisors (1).

122664833 is an equidigital number, since it uses as much as digits as its factorization.

122664833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 35.

The square root of 122664833 is about 11075.4157032592. The cubic root of 122664833 is about 496.8668517736.

The spelling of 122664833 in words is "one hundred twenty-two million, six hundred sixty-four thousand, eight hundred thirty-three".