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122814 = 2326823
BaseRepresentation
bin11101111110111110
320020110200
4131332332
512412224
62344330
71021026
oct357676
9206420
10122814
11842aa
125b0a6
1343b93
1432a86
15265c9
hex1dfbe

122814 has 12 divisors (see below), whose sum is σ = 266136. Its totient is φ = 40932.

The previous prime is 122789. The next prime is 122819. The reversal of 122814 is 418221.

It is a super-3 number, since 3×1228143 = 5557313332467432, which contains 333 as substring.

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: 6823 = 122814 / (1 + 2 + 2 + 8 + 1 + 4).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122819) by changing a digit.

122814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3394 + ... + 3429.

It is an arithmetic number, because the mean of its divisors is an integer number (22178).

2122814 is an apocalyptic number.

122814 is an abundant number, since it is smaller than the sum of its proper divisors (143322).

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

122814 is a wasteful number, since it uses less digits than its factorization.

122814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6831 (or 6828 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 122814 is about 350.4482843445. The cubic root of 122814 is about 49.7068175747.

The spelling of 122814 in words is "one hundred twenty-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 6823 13646 20469 40938 61407 122814