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122274257 = 724615413
BaseRepresentation
bin1110100100111…
…00000111010001
322112002011202012
413102130013101
5222300234012
620044432305
73013212500
oct722340721
9275064665
10122274257
1163025506
1234b48695
131c442141
141234c837
15ab04622
hex749c1d1

122274257 has 12 divisors (see below), whose sum is σ = 142572276. Its totient is φ = 104559840.

The previous prime is 122274247. The next prime is 122274293. The reversal of 122274257 is 752472221.

It can be written as a sum of positive squares in 2 ways, for example, as 32706961 + 89567296 = 5719^2 + 9464^2 .

It is not a de Polignac number, because 122274257 - 26 = 122274193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122274247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19883 + ... + 25295.

It is an arithmetic number, because the mean of its divisors is an integer number (11881023).

Almost surely, 2122274257 is an apocalyptic number.

It is an amenable number.

122274257 is a deficient number, since it is larger than the sum of its proper divisors (20298019).

122274257 is an equidigital number, since it uses as much as digits as its factorization.

122274257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5881 counting only the distinct ones).

The product of its digits is 15680, while the sum is 32.

The square root of 122274257 is about 11057.7690787970. The cubic root of 122274257 is about 496.3389346283.

The spelling of 122274257 in words is "one hundred twenty-two million, two hundred seventy-four thousand, two hundred fifty-seven".

Divisors: 1 7 49 461 3227 5413 22589 37891 265237 2495393 17467751 122274257