Base | Representation |
---|---|
bin | 1110100100101… |
… | …00010101101010 |
3 | 22112000120001200 |
4 | 13102110111222 |
5 | 222243224120 |
6 | 20044025030 |
7 | 3013020603 |
oct | 722242552 |
9 | 275016050 |
10 | 122242410 |
11 | 63003594 |
12 | 34b32176 |
13 | 1c4307b4 |
14 | 12340daa |
15 | aae9e90 |
hex | 749456a |
122242410 has 96 divisors (see below), whose sum is σ = 340076880. Its totient is φ = 30357504.
The previous prime is 122242391. The next prime is 122242411. The reversal of 122242410 is 14242221.
122242410 is a `hidden beast` number, since 12 + 2 + 242 + 410 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 112338801 + 9903609 = 10599^2 + 3147^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (122242411) 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 47 ways as a sum of consecutive naturals, for example, 166404 + ... + 167136.
Almost surely, 2122242410 is an apocalyptic number.
122242410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 122242410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170038440).
122242410 is an abundant number, since it is smaller than the sum of its proper divisors (217834470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122242410 is a wasteful number, since it uses less digits than its factorization.
122242410 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 872 (or 869 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 122242410 is about 11056.3289567559. The cubic root of 122242410 is about 496.2958394886.
Adding to 122242410 its reverse (14242221), we get a palindrome (136484631).
It can be divided in two parts, 12 and 2242410, that added together give a palindrome (2242422).
The spelling of 122242410 in words is "one hundred twenty-two million, two hundred forty-two thousand, four hundred ten".
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