Base | Representation |
---|---|
bin | 1110100100101… |
… | …00100101001000 |
3 | 22112000121102100 |
4 | 13102110211020 |
5 | 222243242100 |
6 | 20044033400 |
7 | 3013023516 |
oct | 722244510 |
9 | 275017370 |
10 | 122243400 |
11 | 63004304 |
12 | 34b32860 |
13 | 1c431096 |
14 | 123414b6 |
15 | aaea400 |
hex | 7494948 |
122243400 has 144 divisors (see below), whose sum is σ = 414856260. Its totient is φ = 32256000.
The previous prime is 122243399. The next prime is 122243423. The reversal of 122243400 is 4342221.
122243400 is a `hidden beast` number, since 1 + 22 + 243 + 400 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 28579716 + 93663684 = 5346^2 + 9678^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203100 + ... + 203700.
Almost surely, 2122243400 is an apocalyptic number.
122243400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207428130).
122243400 is an abundant number, since it is smaller than the sum of its proper divisors (292612860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122243400 is a wasteful number, since it uses less digits than its factorization.
122243400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 736 (or 724 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 122243400 is about 11056.3737274027. The cubic root of 122243400 is about 496.2971792624.
Adding to 122243400 its reverse (4342221), we get a palindrome (126585621).
The spelling of 122243400 in words is "one hundred twenty-two million, two hundred forty-three thousand, four hundred".
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