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122922 = 2326829
BaseRepresentation
bin11110000000101010
320020121200
4132000222
512413142
62345030
71021242
oct360052
9206550
10122922
1184398
125b176
1343c47
1432b22
152664c
hex1e02a

122922 has 12 divisors (see below), whose sum is σ = 266370. Its totient is φ = 40968.

The previous prime is 122921. The next prime is 122929. The reversal of 122922 is 229221.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 19881 = 321^2 + 141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6829 = 122922 / (1 + 2 + 2 + 9 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122895 and 122904.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122922.

It is not an unprimeable number, because it can be changed into a prime (122921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3397 + ... + 3432.

2122922 is an apocalyptic number.

122922 is an abundant number, since it is smaller than the sum of its proper divisors (143448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122922 is a wasteful number, since it uses less digits than its factorization.

122922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6834 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 122922 is about 350.6023388399. The cubic root of 122922 is about 49.7213836760.

The spelling of 122922 in words is "one hundred twenty-two thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 6829 13658 20487 40974 61461 122922